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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+46x^85+70x^86+104x^87+109x^88+154x^89+213x^90+412x^91+653x^92+682x^93+643x^94+386x^95+206x^96+140x^97+72x^98+46x^99+35x^100+20x^101+19x^102+32x^103+16x^104+14x^105+6x^106+10x^107+4x^108+2x^111+1x^162

The gray image is a code over GF(2) with n=744, k=12 and d=340.
This code was found by Heurico 1.16 in 1.24 seconds.