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

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

Homogenous weight enumerator: w(x)=1x^0+226x^22+8x^23+471x^24+104x^25+808x^26+528x^27+3615x^28+4880x^29+3597x^30+488x^31+895x^32+136x^33+392x^34+192x^36+32x^38+9x^40+1x^44+1x^46

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 6.06 seconds.