The generator matrix

 1  0  0  0  0  0  1  1  1  2  1  1  1  2  1  1  1  1  1  1  1  1  0  0  0  1  2  2  1  0  0  1  2  1  1  1  0  0  2  1  1  1  0  1  1  0  2  2  0  0  1
 0  1  0  0  0  0  0  0  0  0  0  1  1  1  1  3  2  2  1  3  3  3  1  1  1  0  1  2  3  1  0  3  1  1  3  2  1  0  0  2  2  2  1  1  3  1  1  1  1  0  0
 0  0  1  0  0  0  0  0  0  0  1  0  1  3  1  2  3  1  3  2  2  3  3  0  3  3  2  1  2  1  1  0  0  0  3  1  1  1  1  3  2  0  2  3  0  3  3  2  2  0  0
 0  0  0  1  0  0  0  1  1  1  3  3  0  1  2  1  3  0  3  2  0  3  2  0  1  2  1  1  3  1  1  1  0  2  1  2  2  1  2  0  1  0  2  1  3  3  1  1  1  1  0
 0  0  0  0  1  0  1  1  0  3  2  2  0  2  3  1  3  2  0  2  3  1  1  3  3  3  3  0  0  2  1  3  3  1  1  0  0  2  3  0  1  0  1  3  0  1  0  1  0  1  0
 0  0  0  0  0  1  1  2  3  1  0  2  2  2  3  3  1  1  3  1  2  0  2  1  1  2  0  1  0  2  0  1  3  2  0  1  2  3  0  2  1  3  0  3  0  0  1  3  1  1  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  0  2  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  0  2  0

generates a code of length 51 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+70x^40+76x^41+198x^42+262x^43+324x^44+356x^45+421x^46+556x^47+469x^48+570x^49+569x^50+526x^51+556x^52+562x^53+493x^54+474x^55+437x^56+362x^57+289x^58+212x^59+169x^60+114x^61+74x^62+18x^63+19x^64+8x^65+3x^66+3x^68+1x^82

The gray image is a code over GF(2) with n=102, k=13 and d=40.
This code was found by Heurico 1.16 in 6.85 seconds.