The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+88x^30+199x^32+182x^34+176x^36+126x^38+112x^40+66x^42+56x^44+18x^46

The gray image is a code over GF(2) with n=72, k=10 and d=30.
This code was found by Heurico 1.10 in 0.031 seconds.