The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+54x^22+56x^23+178x^24+150x^25+349x^26+540x^27+754x^28+2322x^29+2676x^30+5080x^31+8345x^32+5188x^33+2671x^34+2336x^35+828x^36+492x^37+334x^38+176x^39+114x^40+38x^41+51x^42+4x^43+18x^44+2x^45+8x^46+2x^48+1x^50

The gray image is a code over GF(2) with n=256, k=15 and d=88.
This code was found by Heurico 1.16 in 8.9 seconds.