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 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 X 1 0 X 0 0 0 0 0 0 0 0 0 a*X a^2*X X a*X a^2*X a*X a*X a^2*X a*X a*X a^2*X X X 0 a*X a*X 0 a*X X a^2*X 0 a*X X a^2*X a^2*X 0 a*X X a*X a*X 0 a*X a^2*X a^2*X 0 a^2*X 0 a^2*X a^2*X 0 X a*X a*X a*X 0 a^2*X a*X a^2*X X 0 a^2*X a*X a^2*X X a*X X X a^2*X X 0 X X X 0 a^2*X a^2*X a^2*X a*X a^2*X 0 a^2*X a*X X a^2*X 0 0 X 0 0 0 0 X X X a*X 0 a^2*X a^2*X a*X a*X a^2*X a*X 0 a^2*X X X X X X 0 X a*X a^2*X 0 0 X 0 0 a*X 0 0 a*X a^2*X X 0 a*X a^2*X X a*X X a^2*X X 0 X 0 a^2*X 0 X a^2*X 0 a^2*X 0 a*X X a^2*X 0 a*X a^2*X a^2*X a*X a^2*X X X X a*X a^2*X X a*X a*X a^2*X 0 a^2*X X 0 a*X a*X X 0 a*X 0 0 0 X 0 0 X a^2*X a*X a*X a*X 0 a*X a*X a*X a^2*X a*X a^2*X a*X a^2*X 0 a*X 0 a*X a^2*X 0 0 0 0 X a^2*X 0 a*X a*X a*X X a^2*X X a*X a^2*X a*X 0 0 a*X X a*X 0 0 X a^2*X a*X X X a*X 0 a^2*X 0 0 a^2*X a*X a*X 0 X a*X X 0 0 a*X X X X X a^2*X a*X X a^2*X a*X X X a*X a^2*X a^2*X X a^2*X X 0 0 0 0 X 0 a^2*X 0 X a*X a^2*X a^2*X X 0 0 X a*X X a*X X X a*X a*X X a^2*X a*X 0 a*X 0 a*X a*X a*X a*X X X 0 a^2*X a*X a^2*X 0 a*X X a*X a*X a*X 0 X a*X a*X X 0 a*X a*X X a*X a^2*X 0 X X a*X X 0 a^2*X X X 0 a*X 0 X X 0 a^2*X X X X 0 a*X X a^2*X X X 0 a*X a^2*X a*X 0 0 0 0 0 X X X a^2*X X X a*X X X X a*X 0 0 0 a^2*X X a*X a^2*X a*X a^2*X a^2*X a^2*X a^2*X X a*X X 0 0 0 a*X a*X X a*X a*X 0 a*X a*X X 0 a*X a*X X a*X a*X a^2*X a*X a*X a^2*X 0 a*X a*X 0 a^2*X a^2*X a*X a^2*X 0 a^2*X a^2*X a^2*X X 0 a^2*X a^2*X a^2*X a^2*X X a*X X X X X a*X X 0 a*X 0 X X 0 generates a code of length 85 over F4[X]/(X^2) who´s minimum homogenous weight is 232. Homogenous weight enumerator: w(x)=1x^0+180x^232+384x^236+402x^240+96x^241+432x^244+336x^245+426x^248+1536x^249+294x^252+3936x^253+375x^256+4128x^257+330x^260+2256x^261+279x^264+234x^268+213x^272+189x^276+114x^280+84x^284+66x^288+57x^292+21x^296+9x^300+3x^304+3x^316 The gray image is a linear code over GF(4) with n=340, k=7 and d=232. This code was found by Heurico 1.16 in 4.54 seconds.