The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^26+92x^27+232x^28+322x^29+488x^30+626x^31+753x^32+914x^33+1137x^34+1332x^35+1409x^36+1526x^37+1429x^38+1388x^39+1248x^40+1068x^41+805x^42+572x^43+362x^44+246x^45+170x^46+82x^47+86x^48+18x^49+23x^50+4x^51+5x^52+2x^53+1x^54

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 28.4 seconds.