The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+52x^23+170x^24+332x^25+449x^26+570x^27+753x^28+984x^29+1206x^30+1302x^31+1451x^32+1586x^33+1555x^34+1472x^35+1302x^36+1042x^37+768x^38+506x^39+370x^40+266x^41+107x^42+60x^43+49x^44+14x^45+10x^46+4x^47+1x^50+2x^51

The gray image is a code over GF(2) with n=66, k=14 and d=23.
This code was found by Heurico 1.10 in 5.16 seconds.