The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 1 1 1 X+2 X+2 1 1 1 1 1 1 X+2 X 2 1 1 1 0 X+2 1 1 0 1 X+2 1 1 1 1 X+2 1 0 X 0 1 1 0 1 1 1 1 0 2 1 1 1 2 1 1 1 0 1 0 1 1 0 2 0 1 2 1 1 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 X+3 0 2 1 1 1 X+1 X+2 X X 3 1 1 1 1 X+1 2 3 1 1 X+2 X+2 1 X+2 1 X 2 X+2 X+1 1 3 1 1 1 3 0 1 X X+3 X+2 X+1 1 1 3 X+3 1 1 3 X+3 X+2 0 3 1 X+3 0 2 0 1 2 1 0 X+1 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 X X+2 X X+2 X+2 X X+2 X+2 X+2 X+2 X+2 X+2 X X+2 X+2 X+2 X+2 X X+2 0 2 X+2 X+2 X+2 X+2 2 2 X+2 X+2 2 X+2 2 0 X+2 X 0 2 2 0 0 X+2 2 X+2 X 2 0 X+2 X X+2 X+2 2 0 2 X X+2 X X 0 X 2 2 X+2 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 X+2 X+2 2 X+2 X 2 X X X+2 0 2 2 0 X+2 2 2 2 X 0 0 X+2 0 X X 2 X+2 0 X 0 0 X X 2 X X 0 X+2 2 X+2 0 0 0 X X X+2 X X 2 0 2 X 2 2 2 X+2 0 0 0 X 0 X+2 X+2 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X 0 X+2 2 0 X+2 2 0 X+2 2 X+2 2 X X 0 X+2 0 2 2 X+2 X X+2 2 0 X 2 X X+2 X 0 X+2 2 X+2 2 0 0 X X 2 X 2 X X 2 X X+2 0 X X+2 X X X+2 X 0 2 X X 2 X+2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+62x^79+189x^80+306x^81+428x^82+510x^83+561x^84+610x^85+640x^86+664x^87+591x^88+652x^89+620x^90+454x^91+499x^92+452x^93+297x^94+196x^95+165x^96+92x^97+43x^98+48x^99+23x^100+24x^101+15x^102+14x^103+12x^104+6x^105+5x^106+4x^107+4x^108+2x^109+2x^112+1x^116 The gray image is a code over GF(2) with n=352, k=13 and d=158. This code was found by Heurico 1.16 in 6.6 seconds.