The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^26+68x^28+50x^30+41x^32+16x^34+16x^36+10x^38+2x^40+2x^42

The gray image is a code over GF(2) with n=60, k=8 and d=26.
This code was found by Heurico 1.16 in 10.7 seconds.