The generator matrix

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

generates a code of length 30 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+40x^26+75x^28+64x^30+34x^32+18x^34+11x^36+4x^38+5x^40+2x^42+2x^44

The gray image is a code over GF(2) with n=60, k=8 and d=26.
This code was found by Heurico 1.10 in 0 seconds.