The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^40+84x^41+206x^42+246x^43+354x^44+374x^45+392x^46+506x^47+485x^48+564x^49+525x^50+570x^51+587x^52+566x^53+468x^54+514x^55+450x^56+358x^57+268x^58+184x^59+200x^60+92x^61+60x^62+28x^63+29x^64+10x^65+1x^66+3x^68+1x^80

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 6.71 seconds.