The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+135x^30+273x^32+320x^34+326x^36+341x^38+256x^40+205x^42+126x^44+52x^46+10x^48+3x^50

The gray image is a code over GF(2) with n=74, k=11 and d=30.
This code was found by Heurico 1.10 in 0.109 seconds.