The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+68x^15+149x^16+204x^17+337x^18+486x^19+1392x^20+3290x^21+4420x^22+3382x^23+1438x^24+554x^25+326x^26+146x^27+88x^28+46x^29+36x^30+14x^31+4x^32+2x^33+1x^34

The gray image is a code over GF(2) with n=176, k=14 and d=60.
This code was found by Heurico 1.16 in 1.69 seconds.