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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+19x^26+32x^27+36x^28+192x^29+544x^30+128x^31+15x^32+12x^34+32x^35+12x^36+1x^58

The gray image is a code over GF(2) with n=240, k=10 and d=104.
This code was found by Heurico 1.16 in 0.0243 seconds.