The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 1 X 2 1 2 1 1 1 1 2 1 1 1 X 1 X+2 1 1 X+2 1 1 1 X+2 0 1 1 0 1 1 X+2 1 1 1 2 1 1 0 1 1 X+2 1 X 1 1 2 1 2 1 1 1 1 1 1 2 X 1 1 X 1 1 1 X 1 1 0 X X+2 1 1 1 X 0 1 1 0 1 1 0 X+3 1 2 1 X+3 3 2 1 2 3 X+1 1 1 2 1 0 X+3 1 3 1 0 2 1 1 X+2 1 1 0 1 X+2 X+1 X+1 1 1 0 X+1 1 2 3 1 3 X+2 X+2 1 X X+3 1 X 3 1 0 1 X+1 1 1 X 1 2 X+1 1 3 3 X+2 2 1 2 X+3 1 X 1 1 X+2 2 2 1 X+2 1 0 1 0 1 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X+2 X X+2 X X X+2 X X X X X X+2 X+2 X+2 X+2 X X 0 2 X 2 X X X X 2 0 2 X+2 X X 0 2 X X+2 2 X+2 X 2 X+2 2 X+2 X+2 X 0 2 0 2 X+2 2 X+2 0 X 0 X+2 2 0 2 0 2 X+2 0 0 0 X 0 0 0 0 2 X+2 2 0 0 2 X X+2 X+2 X X X 0 X+2 X+2 2 X X+2 2 2 X X 2 X X X+2 2 2 0 2 X+2 X+2 2 0 X+2 0 0 2 X+2 2 X+2 X 2 X X+2 2 X 0 X+2 X+2 X 2 0 X+2 X+2 0 X 0 0 X 2 X+2 0 X+2 X+2 X 2 0 X+2 X+2 0 0 X+2 2 0 X+2 0 0 2 2 0 0 0 0 X 0 X 2 X X+2 X X X+2 X 0 2 0 X+2 X+2 X+2 2 0 X+2 0 0 X X X 0 X+2 2 X X 2 0 X X+2 X+2 0 2 X 2 X 2 0 2 X+2 2 2 X+2 2 X X X X 0 2 X+2 2 X+2 X+2 X X 0 X X X+2 0 X+2 2 X X 0 X 2 0 2 X+2 X+2 0 X+2 X+2 X+2 X 2 0 X+2 2 0 0 0 0 0 X X+2 X 2 X X+2 X+2 X 0 X+2 X+2 X+2 X+2 2 X+2 X 0 0 0 2 0 X 2 X X+2 0 X+2 X X X 2 X 0 0 X X+2 2 0 X+2 2 2 0 X+2 0 X+2 0 2 2 0 X+2 X 2 0 0 2 X+2 0 X 2 0 X 2 X X+2 0 2 X X+2 X X 0 X 2 X+2 2 X+2 0 0 2 0 0 X+2 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+50x^77+131x^78+272x^79+375x^80+526x^81+735x^82+802x^83+1024x^84+1180x^85+1178x^86+1306x^87+1318x^88+1330x^89+1360x^90+1218x^91+975x^92+760x^93+543x^94+364x^95+293x^96+176x^97+151x^98+114x^99+54x^100+54x^101+22x^102+18x^103+19x^104+16x^105+6x^106+2x^107+2x^108+4x^109+2x^110+2x^112+1x^116 The gray image is a code over GF(2) with n=352, k=14 and d=154. This code was found by Heurico 1.16 in 22.6 seconds.