The generator matrix

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

generates a code of length 15 over Z5[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+260x^48+400x^49+684x^50+600x^52+3120x^53+1800x^54+1432x^55+2000x^56+4800x^57+12480x^58+5200x^59+3352x^60+8000x^61+9600x^62+16640x^63+5100x^64+2532x^65+92x^70+32x^75

The gray image is a linear code over GF(5) with n=75, k=7 and d=48.
This code was found by Heurico 1.16 in 1.45 seconds.