The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+32x^29+76x^30+116x^31+181x^32+224x^33+492x^34+914x^35+1308x^36+1542x^37+1322x^38+906x^39+492x^40+214x^41+128x^42+102x^43+52x^44+34x^45+24x^46+10x^47+14x^48+2x^49+4x^50+2x^54

The gray image is a code over GF(2) with n=296, k=13 and d=116.
This code was found by Heurico 1.16 in 0.887 seconds.