The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+80x^26+98x^27+348x^28+430x^29+737x^30+874x^31+1290x^32+1360x^33+1829x^34+2412x^35+2487x^36+2996x^37+2761x^38+2918x^39+2476x^40+2518x^41+2046x^42+1548x^43+1310x^44+764x^45+599x^46+328x^47+259x^48+114x^49+133x^50+14x^51+15x^52+10x^53+7x^54+6x^56

The gray image is a code over GF(2) with n=76, k=15 and d=26.
This code was found by Heurico 1.10 in 23.8 seconds.