The generator matrix

 1  1  1  1  1  1  2  1  0  1  2  1  1 12  1  1  2  0  1  1  1  1  1
 0  2 12  6  0  6  6 12  2 10 10  0  6  2 12 10  6  2  6  6  6  6  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0

generates a code of length 23 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+38x^14+16x^15+140x^16+32x^17+402x^18+576x^19+1430x^20+2784x^21+8132x^22+5472x^23+8276x^24+2784x^25+1612x^26+576x^27+356x^28+32x^29+22x^30+16x^31+31x^32+34x^34+6x^36

The gray image is a code over GF(2) with n=184, k=15 and d=56.
This code was found by Heurico 1.16 in 2.73 seconds.