The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  0  1  1  1  8  1  0  1 10  1  1  2  1  1  1  1  1  6  8  1  1  1  1  2 10  1  4  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  2  1  1  1  6 12  1  1  1  4  1  1  1  6  1 12  1  1  1  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  0 15  1 14  4 13  1 11  1  2  1  5  8  1  4 15 15 14  1  1  1  2  8 11  1  1  1 14  1  4 11 12  2  4  2 12  0 14  6 14 10  0 12  1  6 14  5  8 12  1  1  5  5  1  1  8 11 13  1  3 11 11  1  7  1  0 10  4  9
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  0  8  0 12  4 12 10  4 14  4 14 10  4 10  6 14  4  2  4 12  4  6 10  2 14  4  0  6 12 10  2 14 10 12  4  0  4 12  6  8  0  2  8 12 10  0 14  8  6 12  8 10  0 10  6  2  0 14  8  8 14  4 14  4  2  4 12  2  6
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  0  8  0  0  0  0  8  8  8

generates a code of length 90 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+771x^86+892x^88+863x^90+850x^92+649x^94+14x^96+37x^98+16x^102+1x^104+1x^124+1x^132

The gray image is a code over GF(2) with n=720, k=12 and d=344.
This code was found by Heurico 1.16 in 89.5 seconds.