The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 X 0 1 1 0 1 1 X 1 0 1 0 1 X+2 1 0 1 1 X+2 1 1 1 1 2 0 0 X+2 1 1 X+2 1 X 2 1 1 2 1 X+2 X 1 X+2 1 1 1 2 X+2 0 1 1 1 1 1 1 1 X 1 1 2 0 1 1 X+2 1 0 1 1 X X 1 1 1 0 1 2 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 1 1 X+1 2 0 X+2 X X+2 X+1 1 3 1 0 2 3 1 X+2 0 1 2 X+3 X+3 X+2 1 1 X+2 1 2 X 1 2 1 2 X+3 2 1 1 X+2 1 2 1 X+1 X+1 3 1 1 X+2 0 X+1 2 2 1 1 0 1 3 2 1 1 1 X+1 1 1 1 X+1 X+1 X X+2 0 X+3 X 1 3 1 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 3 X+2 X X+2 1 2 X+1 1 1 X+3 0 0 3 1 X+3 X+2 X X+2 X+3 X+1 3 X X+1 X X+3 1 X+2 X+2 X+3 X+1 X+3 2 1 X+2 2 X+2 3 1 0 0 3 1 X+2 X+3 1 1 1 X+1 0 X X+3 X+3 1 X X+2 X X+3 2 3 3 X X+1 1 1 1 2 1 1 2 0 X+3 2 X+2 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X+2 2 2 0 X 0 X 2 X 2 X 0 X+2 2 0 0 2 X 0 0 0 X X X+2 X X 0 X 2 X X 0 X+2 X+2 X X X X+2 X+2 2 0 0 X+2 0 X 0 2 X+2 X+2 2 2 2 0 X+2 2 X+2 2 X X 0 0 X X+2 0 2 X+2 2 0 X X+2 0 X+2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+70x^79+244x^80+416x^81+601x^82+774x^83+882x^84+998x^85+1177x^86+1274x^87+1280x^88+1288x^89+1283x^90+1218x^91+1095x^92+1002x^93+768x^94+616x^95+489x^96+324x^97+223x^98+110x^99+86x^100+62x^101+37x^102+22x^103+10x^104+4x^105+5x^106+10x^107+9x^108+2x^109+2x^110+2x^111 The gray image is a code over GF(2) with n=356, k=14 and d=158. This code was found by Heurico 1.16 in 19.5 seconds.