The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+45x^82+50x^83+140x^84+188x^85+506x^86+602x^87+1276x^88+1584x^89+2874x^90+2932x^91+4409x^92+3624x^93+4414x^94+2932x^95+2868x^96+1584x^97+1250x^98+602x^99+462x^100+188x^101+88x^102+50x^103+38x^104+18x^106+9x^108+10x^110+9x^112+3x^114+4x^116+6x^118+2x^130

The gray image is a code over GF(2) with n=744, k=15 and d=328.
This code was found by Heurico 1.16 in 23 seconds.