The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1 2a+2 2a  1  1  1  1 2a  1  1  1  1 2a+2  1  0  1  1  1  1  1  1  1 2a+2  1  0  1  2  2  1  1  1  1  0  1 2a  1 2a+2  1  1  1 2a  1  1  2  1  1  1  1  1  1  2  1  0  1  1  2 2a  1  1  1  1  1  1  2  1  0  2  1  1  1  1
 0  1  0 2a+2 2a  2  1 3a+2 3a+3 2a+3 2a+1  3  a a+3  1 3a a+2 3a+1 a+1  1  1  0  1  a 3a+3  1 2a  2 a+3 2a+3  1 a+2  1  3 2a+1 3a 2a+2 3a+1  a a+1  1 3a+2  1  2  1  1 3a 3a+2 a+2  0  1 2a  1 2a+2  1  a  2  0  1 2a+2 3a  1  a 3a 3a+2 2a+2 2a  1  1  0  1 2a+2 3a+2  1  1 a+2 3a+3  a 3a+1 3a+2  0  1 2a+3  1 2a+2 2a  0  3  a
 0  0  1  1  a 3a+3 3a+1 a+1 a+3 a+2 2a+1  2 2a+2 2a a+1  3 3a+2 3a 2a+3 2a+1 3a  2 3a+3  0 3a+1 3a+2 3a+2 a+3 2a+2  a a+3 a+2 3a+2 2a  1 2a+1  3  a a+2 2a+1  3 a+3 2a 2a+3 3a a+3 3a+2 2a 3a+1  a  3 3a+3 2a+1 3a+2 a+1  3  1 a+1  1 3a a+1 2a+2  a 2a+2 2a+1 2a 2a+3 2a+1 a+2 a+3 3a+1  2 2a+2 3a+1  0 2a+1 a+2  1  0  0 3a 2a a+3  2  1  3 a+2  1  2

generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 259.

Homogenous weight enumerator: w(x)=1x^0+372x^259+165x^260+192x^261+96x^262+792x^263+186x^264+324x^265+204x^266+552x^267+108x^268+96x^269+36x^270+216x^271+51x^272+84x^273+96x^275+84x^276+24x^277+36x^278+96x^279+24x^280+24x^281+12x^282+84x^283+72x^287+15x^288+24x^289+24x^291+3x^304+3x^308

The gray image is a code over GF(4) with n=356, k=6 and d=259.
This code was found by Heurico 1.16 in 0.203 seconds.