The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  1  2  2  1  2  2  2  0  2  1  1  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  2  0  2  0  2  2  2  2  0  2  0  2  0  0  0  0  2  0  2  2
 0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  2  0  0  2  2  0  0  2  2  0  2  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  0  0  0  2  2  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  0  2  2  0  0  0  2  0  0  0  2  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  2  2  2  2  2  0  2  2  0  0  0  2  2  0  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  0  2  2  0  2  0  0  0  2  2  0  0  0  2  0  2  0  2  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  2  0  2  0  2  2  2  0  0  2  0  2  0  0  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  2  0  2  2  2  2  2  2  2  2  0  0  2  0  2  0  0

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

Homogenous weight enumerator: w(x)=1x^0+97x^40+10x^42+229x^44+90x^46+351x^48+212x^50+402x^52+164x^54+263x^56+34x^58+126x^60+2x^62+56x^64+10x^68+1x^76

The gray image is a code over GF(2) with n=102, k=11 and d=40.
This code was found by Heurico 1.16 in 0.684 seconds.