The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^26+122x^28+100x^30+41x^32+76x^34+22x^36+20x^38+6x^40+2x^42

The gray image is a code over GF(2) with n=60, k=9 and d=26.
This code was found by Heurico 1.10 in 4.5 seconds.