The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+143x^22+166x^23+444x^24+490x^25+939x^26+1100x^27+1520x^28+1882x^29+2189x^30+2798x^31+2887x^32+3260x^33+2912x^34+3060x^35+2331x^36+2036x^37+1643x^38+1062x^39+870x^40+362x^41+325x^42+128x^43+132x^44+34x^45+41x^46+6x^47+6x^48+1x^52

The gray image is a code over GF(2) with n=66, k=15 and d=22.
This code was found by Heurico 1.10 in 18.7 seconds.