The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  0  1  6  1  1 12  1  1  1  1 10  1  1  0  1  1  6  1  1  8  1  1 14  1  1  0  6  1  1  1  1 12  1  1  8  1  1  1  1  4 14  1  0  8  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  1  9  3  0  1  6  5  1  1 12 15 10  9  1  0  3  1  6  5  1 12 15  1  9  1 10  6  1  3  1  0  5  1 12 15 10  9  1  0  3  1  6  5  1  0  3  1 14 13  1  6  5  1  1  8 11 12 15  1  8 11  1 10 10 13  7  1  1  2  1  1  9  1  5 13  4  0  8  3  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  8  0  0  8  8  0  0  8  0  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  8  0  8  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  8  0  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0

generates a code of length 90 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+160x^85+662x^86+304x^87+140x^88+240x^89+1080x^90+240x^91+143x^92+304x^93+656x^94+160x^95+3x^96+2x^118+1x^124

The gray image is a code over GF(2) with n=720, k=12 and d=340.
This code was found by Heurico 1.16 in 0.801 seconds.