The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 3X  1  1  1  1  1  1  1
 0  1  0 3X+1  2  4 3X 4X+1 X+2 3X+4 3X+3  1 4X  1 X+3 2X+3 4X 2X+1 2X+2
 0  0  1 3X+3  2  1 3X+1 X+2 3X 4X+3 3X+4 4X+1 X+4 4X+4 3X+2 4X+1 2X+3 4X+1  2

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+220x^66+40x^68+360x^69+1336x^70+1140x^71+300x^72+320x^73+1080x^74+1844x^75+1560x^76+1200x^77+640x^78+1560x^79+2424x^80+1580x^81+8x^85+12x^90

The gray image is a linear code over GF(5) with n=95, k=6 and d=66.
This code was found by Heurico 1.16 in 0.0902 seconds.