The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  4
 0 12  0  0  0  0  0  0  0  4  8  4  4  8  4  4  4  8 12  4
 0  0 12  0  0  8 12 12  4  4  8  0  4  4  8  4 12  8  4 12
 0  0  0 12  0 12 12  4  8  0  0  0  4  0 12  8  8 12 12 12
 0  0  0  0 12  4  8  4  4  0  8  4  4  0  0  0  4  4  8 12

generates a code of length 20 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+58x^15+129x^16+104x^17+145x^18+858x^19+1500x^20+880x^21+160x^22+94x^23+94x^24+40x^25+14x^26+14x^27+4x^28+1x^34

The gray image is a code over GF(2) with n=160, k=12 and d=60.
This code was found by Heurico 1.16 in 80 seconds.