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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+194x^83+71x^84+298x^85+250x^86+368x^87+701x^88+430x^89+760x^90+322x^91+188x^92+212x^93+42x^94+146x^95+21x^96+46x^97+4x^98+22x^99+7x^100+6x^101+2x^103+2x^107+2x^108+1x^152

The gray image is a code over GF(2) with n=712, k=12 and d=332.
This code was found by Heurico 1.16 in 4.25 seconds.