The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+55x^26+148x^27+136x^28+94x^29+160x^30+204x^31+167x^32+162x^33+166x^34+184x^35+148x^36+98x^37+120x^38+92x^39+56x^40+30x^41+11x^42+12x^43+4x^44

The gray image is a code over GF(2) with n=66, k=11 and d=26.
This code was found by Heurico 1.10 in 0.094 seconds.