The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+67x^26+96x^27+245x^28+278x^29+509x^30+524x^31+761x^32+978x^33+1067x^34+1372x^35+1412x^36+1684x^37+1428x^38+1408x^39+1149x^40+924x^41+814x^42+608x^43+461x^44+214x^45+189x^46+84x^47+56x^48+18x^49+19x^50+4x^51+10x^52+2x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.16 in 27.7 seconds.