The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^40+256x^42+674x^44+692x^46+1102x^48+1126x^50+1370x^52+1008x^54+922x^56+420x^58+296x^60+76x^62+73x^64+6x^66+10x^68+2x^76

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 7.3 seconds.