The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^15+160x^16+250x^17+332x^18+460x^19+662x^20+756x^21+864x^22+980x^23+968x^24+824x^25+608x^26+484x^27+360x^28+204x^29+112x^30+56x^31+23x^32+14x^33+4x^34+2x^36

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 1.76 seconds.