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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+55x^84+82x^86+127x^88+128x^89+1270x^90+128x^91+113x^92+94x^94+39x^96+10x^98+1x^176

The gray image is a code over GF(2) with n=720, k=11 and d=336.
This code was found by Heurico 1.16 in 0.838 seconds.