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  1  1  1  1  1  2  0  1  2  1  0  2  8  1  2  1  1 12  8  1  4  2  1  1  1  1 12  1  2 12  1  1  1  1  2  1  1  1  1  2  1  1  4  2  2  1  1  1  2  1  1  2  1  2  4  1  1  1  1  1  1  2  1  1  4  2  1  2  1  1
 0  2  0  6  4  6 12  2  8  6 12 14  0  2  4 10  0 10 12  2  4  2  0  6  8  2 14 12  2  6  2 12 10  2  2 14  2  4  6 14 12  2  2  0  2 14  6 12  4 14  2  0  2  2  6  2  4  8  2 14 14  0 14 14  4  4  2  2 10  8  4  2  2  4 14 12  8 10  8  8 14  4  6  6 14  8  4  8  0  2 12 14  6  0
 0  0 12  0  4  0  0  0  8  4  4  4  4  4  0 12  0  8 12  8  4 12 12 12  8  4  0  0 12  0  0 12  8  8  4  0  8  0  4 12  0 12 12 12  0  4 12  0  0  4  4  8  4  8  8  8  0  4  0  8  4  4  8  4  0  8  4 12  4  4 12  4  8  8  4  8  4  0 12 12 12  4  8  8  0  0  8 12  4  8  0 12  0  0
 0  0  0 12  0  0  0  4 12  4 12  8  4  0 12 12  8  4  8  8  4  8  8  4 12 12  0  8  8  8  0 12  0  4 12  4  4 12  4 12 12  4  0  4  4  0  8  0  4  8  4  0  0  8  8  8  8  0 12  8 12  0 12  8  0  4  0  0 12  8  4  4  4 12  8  4  4  8  4  0  8  4  8 12  8 12  8  4 12 12 12  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  8  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  0  0  8  8  8  8  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  8  0  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  8  8  8  8  8  8  8  0  8  8  0  0  8  8  8  0  0  8  8  8  0  8  8  0  0  0  8  0  8  0  0  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  8  0  8  8  8  0  8  0  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  8  0  8  0  8  8  0  0  0  0  0  0  0  0  0  0  8  0

generates a code of length 94 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+53x^82+80x^83+207x^84+320x^85+400x^86+522x^87+897x^88+1258x^89+1735x^90+2378x^91+3021x^92+3734x^93+3866x^94+3588x^95+3007x^96+2364x^97+1702x^98+1248x^99+863x^100+516x^101+314x^102+198x^103+161x^104+98x^105+80x^106+38x^107+27x^108+22x^109+32x^110+12x^111+6x^112+8x^113+5x^114+2x^116+3x^118+1x^122+1x^134

The gray image is a code over GF(2) with n=752, k=15 and d=328.
This code was found by Heurico 1.16 in 37.1 seconds.