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  2  1  1  1  1  2  1  1  1  1  2  1  1  1  1  1  2  1  1  1  1  4  1  1  1  1  1  8  1  1  1  1  1  4  1  1  4  1  4  1  1  2  1  0  1  1  4  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12  8  4  0  4 12  8  8  0  0  4  4  8 12  8 12  8 12  4  8 12  8  4 12 12  0  0  8  8  8  8 12  8 12  0  0 12  4  0  0  0  4 12  4  0  4  0  0  0  0  4  4  8 12  0  4  0  4  4  4  8  8  8 12  0
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  0 12  4  8  0  8  0  0  4  4 12 12  4  8  8  8  8  4  8 12 12  8 12 12 12  4 12  0  8  8  8  0  4  8  0  4 12  4  4  4  0  4  0  0  4 12  4 12  8  4  4  4 12 12  8  8  4 12  4  0  8  4  0  0  8
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  8  4  8  0  0  4 12 12 12  0  0 12  8 12  0  0 12  4  8 12  4  0  8  4  8  8  0  0  8  0 12 12 12 12  8  4  0  4 12  0  4  8 12  8  4  4 12  0  8  0  0 12  4  0  8 12 12  4 12  8  4  8  8  4  4
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4 12  0  0  8  0  4  4  0  8  4  0  4  0  4  8 12 12  8  8 12  4  4  8  8 12 12  8  4  0  0  8  8 12  4 12  4  0 12  0 12  0 12  4  0  0 12  0 12  4  0  8 12  8 12 12  0  4  0  0  8  8  4  8 12  0

generates a code of length 90 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+37x^82+66x^83+92x^84+112x^85+207x^86+236x^87+434x^88+722x^89+554x^90+488x^91+451x^92+262x^93+151x^94+68x^95+49x^96+46x^97+20x^98+26x^99+20x^100+10x^101+18x^102+8x^103+8x^104+5x^106+4x^107+1x^156

The gray image is a code over GF(2) with n=720, k=12 and d=328.
This code was found by Heurico 1.16 in 1.15 seconds.