The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+103x^22+124x^23+320x^24+418x^25+529x^26+652x^27+944x^28+1326x^29+1407x^30+1408x^31+1567x^32+1852x^33+1423x^34+1152x^35+968x^36+900x^37+549x^38+228x^39+268x^40+98x^41+79x^42+20x^43+24x^44+14x^45+5x^46+4x^48+1x^50

The gray image is a code over GF(2) with n=64, k=14 and d=22.
This code was found by Heurico 1.16 in 24.4 seconds.