The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+176x^30+402x^32+528x^34+631x^36+644x^38+663x^40+502x^42+329x^44+152x^46+54x^48+14x^50

The gray image is a code over GF(2) with n=76, k=12 and d=30.
This code was found by Heurico 1.10 in 0.422 seconds.