The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+242x^22+421x^24+706x^26+384x^27+3714x^28+5376x^29+3786x^30+384x^31+757x^32+414x^34+149x^36+36x^38+13x^40+1x^52

The gray image is a code over GF(2) with n=232, k=14 and d=88.
This code was found by Heurico 1.16 in 15.1 seconds.