The generator matrix

 1  0  1  1  1 X+2  1  1 2X+2  1 3X  1  1  1  0  1  1 X+2 2X+2  1  1  1  1 3X  1  1  0  1  1 X+2  1  1 2X+2  1 3X  1  1  0  1 X+2  1  1 2X+2  1  1  1  1 3X  1  1  0  1  1 X+2  1  1 2X  1  1 3X+2  1  1  0 X+2  1  1  1  1 2X+2  1  1 3X  1  1  1 3X  1 2X  1  1  1 3X+2  1  1  1  1 X+2 3X+2  1  X  1  0  1  1
 0  1 X+1 X+2  3  1 2X+2 3X+3  1 3X  1 2X+1 X+1  0  1 X+2  3  1  1 2X+2 3X+3 3X 2X+1  1  0 X+1  1 X+2  3  1 2X+2 3X+3  1 2X+1  1 3X X+2  1 X+1  1  0  3  1 2X+2 3X+3 3X 2X+1  1  0 X+1  1 X+2  3  1  0 X+1  1 3X+2 2X+3  1 X+2  3  1  1 2X 3X+1 2X+2 3X+3  1 3X 2X+1  1 2X+2 3X 3X+3  1 2X+3  1 3X+1  1 2X  1  X  0  3 2X+3  1  1 2X  1 X+3  1  2  0
 0  0 2X  0  0  0  0  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X  0  0  0  0 2X 2X 2X 2X  0  0 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X  0  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0 2X  0 2X 2X  0  0 2X 2X 2X 2X  0  0  0  0  0 2X  0  0  0 2X 2X
 0  0  0 2X  0  0  0  0 2X 2X 2X 2X 2X 2X 2X  0 2X 2X  0 2X 2X  0  0  0 2X  0  0  0 2X  0  0 2X 2X  0 2X 2X 2X 2X 2X 2X 2X 2X  0  0  0  0  0  0  0  0  0 2X 2X 2X 2X  0  0  0 2X 2X 2X  0  0 2X  0 2X  0  0 2X 2X 2X  0 2X 2X  0  0  0  0 2X  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X 2X  0  0
 0  0  0  0 2X  0  0 2X  0  0  0 2X 2X 2X 2X 2X  0 2X 2X 2X  0 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X 2X  0 2X  0  0  0 2X 2X  0  0 2X 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0  0  0 2X  0  0 2X 2X  0 2X 2X 2X  0  0  0 2X 2X  0 2X  0  0  0 2X  0  0 2X 2X  0 2X  0 2X  0  0
 0  0  0  0  0 2X 2X 2X 2X 2X  0  0 2X 2X 2X  0 2X  0  0  0  0 2X 2X 2X 2X  0 2X  0 2X  0  0 2X  0  0 2X  0 2X  0  0 2X  0  0 2X 2X 2X 2X 2X  0 2X  0  0  0 2X 2X 2X 2X 2X  0  0  0 2X 2X  0 2X  0  0 2X  0  0  0 2X 2X 2X 2X 2X 2X  0 2X 2X 2X  0  0  0  0  0  0  0  0  0 2X  0  0 2X 2X

generates a code of length 94 over Z4[X]/(X^2+2) who�s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+160x^89+512x^90+560x^91+79x^92+496x^93+486x^94+496x^95+75x^96+560x^97+504x^98+160x^99+4x^104+1x^124+2x^126

The gray image is a code over GF(2) with n=752, k=12 and d=356.
This code was found by Heurico 1.16 in 0.937 seconds.