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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+134x^74+8x^75+214x^76+68x^77+192x^78+244x^79+817x^80+904x^81+768x^82+240x^83+177x^84+52x^85+82x^86+20x^87+52x^88+44x^90+44x^92+24x^94+6x^96+2x^98+2x^102+1x^132

The gray image is a code over GF(2) with n=648, k=12 and d=296.
This code was found by Heurico 1.16 in 0.977 seconds.