The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+56x^23+173x^24+240x^25+392x^26+496x^27+761x^28+1876x^29+3220x^30+5558x^31+7272x^32+5402x^33+3196x^34+2006x^35+891x^36+498x^37+332x^38+186x^39+103x^40+46x^41+28x^42+18x^43+11x^44+2x^45+3x^48+1x^52

The gray image is a code over GF(2) with n=256, k=15 and d=92.
This code was found by Heurico 1.16 in 11.9 seconds.