The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+66x^23+163x^24+228x^25+332x^26+414x^27+492x^28+530x^29+656x^30+752x^31+747x^32+810x^33+743x^34+654x^35+538x^36+422x^37+282x^38+148x^39+97x^40+58x^41+28x^42+12x^43+10x^44+6x^46+2x^47+1x^50

The gray image is a code over GF(2) with n=64, k=13 and d=23.
This code was found by Heurico 1.10 in 1.34 seconds.