The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+73x^28+74x^29+133x^30+188x^31+240x^32+286x^33+262x^34+328x^35+289x^36+322x^37+330x^38+320x^39+305x^40+266x^41+219x^42+168x^43+132x^44+76x^45+45x^46+20x^47+14x^48+2x^50+2x^52+1x^58

The gray image is a code over GF(2) with n=74, k=12 and d=28.
This code was found by Heurico 1.16 in 0.98 seconds.