The generator matrix 1 0 0 0 0 1 1 1 0 1 2 1 1 X 2 1 1 1 2 X 2 1 X 2 X+2 1 1 1 1 1 X X+2 1 X+2 1 1 1 2 2 2 X 1 1 X 2 0 1 1 0 1 1 X 0 X+2 1 X 1 1 X 2 1 2 2 1 1 X 1 X+2 1 1 1 0 0 1 1 1 1 2 1 0 1 1 X+2 X 1 0 X 1 0 1 0 0 0 0 X+1 X 0 X+3 1 X X+1 1 1 3 X+1 3 X 1 1 X+3 0 1 0 X+1 X+2 X+2 0 2 1 1 X+2 1 2 X+1 X 1 X 2 X X+2 X+3 0 1 1 0 X X+2 X+3 0 1 1 1 X+2 1 2 X+1 X 1 X+3 1 2 3 1 X+2 0 1 X+2 2 1 1 1 X+2 1 3 X+3 0 2 2 X 2 1 X 1 1 1 0 0 0 1 0 0 0 1 X+1 1 1 2 3 X 1 0 3 X X+3 1 X X+3 2 1 X+1 X 2 0 X+3 2 3 1 X+3 X+2 2 X+2 X+3 0 X+2 1 1 1 3 X 1 3 2 2 3 X+2 1 X+3 3 X+2 1 X 0 X+3 2 X 3 1 X+3 2 X+2 X+3 1 0 X+2 3 X+1 1 1 X X+2 X+3 X+2 X+3 X X 2 X+2 X+1 2 1 3 2 1 0 0 0 0 1 0 1 2 3 3 X+1 1 X+2 0 1 X+3 0 3 X+1 X+2 X 2 1 1 X 1 2 X+3 3 0 X+2 X+2 1 X+2 X+2 1 X+2 1 X+3 X+2 1 0 3 X+3 3 X+1 2 X+2 X 1 X+3 1 2 3 3 X+2 X 2 0 X+2 X+3 1 X 1 X+2 2 X 0 2 1 X X+3 0 3 2 X+1 1 X+1 X+2 X+3 1 3 3 X+2 2 0 0 X 0 0 0 0 0 1 1 3 X+2 X+3 3 X 3 X+1 X+2 3 X+2 3 0 X+3 3 3 0 0 2 X+1 0 X+2 X+1 1 X+2 0 X+1 X+2 2 1 2 0 X 2 X+1 X+1 2 1 0 0 X+1 X+3 X+2 2 X+3 1 1 X+3 3 2 2 X+2 X+1 1 1 1 X+2 X+3 1 3 X+2 2 2 X+1 1 X X+1 X X+1 X+3 X+3 2 1 0 1 0 2 3 X+2 3 X+3 X+3 0 0 0 0 0 0 X 0 X X X+2 X 2 0 X X+2 0 X X+2 2 2 0 X X 0 X+2 2 X X+2 2 0 0 2 2 X+2 2 X+2 0 2 X+2 2 X+2 2 0 2 0 X+2 X X+2 2 2 X+2 X 2 0 X 0 2 X+2 X+2 X X+2 X X+2 X+2 X+2 X+2 X X 0 0 X X+2 0 0 2 0 X 0 0 2 0 X X 0 2 0 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+52x^75+372x^76+876x^77+1484x^78+2192x^79+3005x^80+3872x^81+5285x^82+6078x^83+7580x^84+8360x^85+10290x^86+10014x^87+11368x^88+10228x^89+10434x^90+8982x^91+8022x^92+6378x^93+5076x^94+3698x^95+2914x^96+1776x^97+1155x^98+666x^99+418x^100+232x^101+108x^102+54x^103+40x^104+20x^105+22x^106+6x^107+8x^108+2x^109+2x^110+2x^111 The gray image is a code over GF(2) with n=352, k=17 and d=150. This code was found by Heurico 1.13 in 364 seconds.