The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+193x^28+536x^30+832x^32+1106x^34+1425x^36+1366x^38+1250x^40+870x^42+379x^44+146x^46+77x^48+8x^50+3x^52

The gray image is a code over GF(2) with n=74, k=13 and d=28.
This code was found by Heurico 1.10 in 1.73 seconds.