The generator matrix

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

generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+492x^250+396x^251+777x^252+672x^253+1548x^254+1260x^255+2091x^256+1332x^257+2916x^258+1836x^259+2409x^260+1656x^261+3864x^262+2280x^263+3162x^264+1812x^265+3960x^266+2388x^267+2748x^268+1920x^269+3480x^270+2220x^271+2751x^272+1392x^273+3360x^274+1752x^275+2253x^276+1164x^277+2136x^278+1236x^279+1296x^280+552x^281+972x^282+396x^283+357x^284+204x^285+300x^286+60x^287+75x^288+48x^289+12x^290

The gray image is a code over GF(4) with n=356, k=8 and d=250.
This code was found by Heurico 1.16 in 28.7 seconds.