The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^26+150x^27+230x^28+372x^29+509x^30+604x^31+767x^32+916x^33+1075x^34+1264x^35+1391x^36+1468x^37+1436x^38+1380x^39+1266x^40+1004x^41+824x^42+594x^43+370x^44+288x^45+191x^46+96x^47+62x^48+48x^49+13x^50+8x^51+9x^52

The gray image is a code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.10 in 6.09 seconds.