The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 0 1 1 1 X+2 1 X+2 1 1 2 1 1 1 1 2 0 1 1 1 1 0 X 1 X+2 1 1 0 1 1 X+2 1 1 1 X 1 X+2 0 X 1 1 1 0 1 1 1 1 2 X+2 1 1 1 2 0 X X 1 1 1 2 1 1 2 1 1 1 1 1 0 1 1 0 1 1 0 X+3 1 X X+3 1 3 1 0 1 X+2 1 1 X 1 1 X+1 2 X+3 1 X+2 1 X+3 X+2 1 2 X+2 X+3 1 1 1 X X 1 X+3 1 1 1 1 0 X+1 1 X+3 X 1 X+2 X+3 X+1 1 2 1 1 1 3 X+3 X+2 1 X+2 3 2 X+1 1 1 X+2 3 X+3 1 X 1 2 0 X+2 X+3 1 3 2 1 X+3 3 X+1 2 X+2 1 X X+2 0 0 X 0 X+2 0 0 2 2 0 2 X 0 X X X X X+2 X 0 X+2 X+2 X+2 0 2 2 X 2 X 2 X 0 X 0 X+2 0 2 X 0 X 0 X X+2 2 X X+2 2 X+2 2 0 X X+2 X+2 X+2 0 0 X+2 0 0 X 2 2 2 X+2 X+2 X 2 2 2 0 X+2 X X+2 X+2 X X 0 0 2 2 0 0 X+2 X+2 X 0 X 0 0 0 0 X 0 0 X X+2 X+2 2 X X X+2 X+2 X X 2 X 0 0 2 X 2 2 2 X+2 X X+2 2 X 0 X 2 X 0 0 0 X 2 0 X X+2 X 0 X X X 0 0 0 2 0 X+2 X X+2 2 X+2 0 X+2 X+2 2 0 2 X+2 2 X+2 0 X X+2 X X X+2 2 0 2 2 2 X+2 X+2 X X 2 2 X+2 X X X 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 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+108x^79+211x^80+274x^81+351x^82+450x^83+599x^84+612x^85+595x^86+654x^87+754x^88+634x^89+564x^90+598x^91+474x^92+418x^93+268x^94+184x^95+146x^96+90x^97+55x^98+30x^99+44x^100+16x^101+13x^102+18x^103+8x^104+2x^105+4x^106+2x^107+2x^108+2x^109+4x^110+4x^111+2x^114+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 17.2 seconds.