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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+68x^76+44x^78+276x^80+220x^82+607x^84+128x^85+868x^86+1152x^87+1395x^88+2816x^89+1320x^90+2816x^91+1380x^92+1152x^93+868x^94+128x^95+545x^96+220x^98+218x^100+44x^102+64x^104+27x^108+22x^112+3x^116+1x^120+1x^140

The gray image is a code over GF(2) with n=720, k=14 and d=304.
This code was found by Heurico 1.16 in 13 seconds.