The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+56x^15+158x^16+256x^17+377x^18+474x^19+579x^20+790x^21+893x^22+900x^23+963x^24+866x^25+655x^26+492x^27+321x^28+186x^29+119x^30+60x^31+26x^32+14x^33+4x^34+2x^35

The gray image is a code over GF(2) with n=46, k=13 and d=15.
This code was found by Heurico 1.16 in 1.77 seconds.