The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2 X 1 1 2 1 2 1 1 X 1 1 1 1 1 1 1 2 1 2 1 2 1 X 1 1 1 X 1 1 X 1 1 X 2 2 1 1 X 1 1 X X 0 X 0 0 0 0 0 0 2 X X+2 X+2 X+2 X+2 X+2 X X+2 2 X+2 2 X 0 2 X+2 0 X X+2 X 2 2 X+2 0 X 0 0 X+2 X+2 2 X X+2 2 X X X 0 X X 0 2 2 X X X 2 0 0 2 X 0 2 2 0 0 2 X X 0 X+2 X+2 0 0 0 X+2 2 0 X X X+2 X+2 2 X X+2 X X X+2 X+2 X 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X+2 X 0 2 0 2 X 0 0 X 2 X+2 X+2 X+2 0 0 2 X+2 X X X+2 2 X+2 X+2 0 0 2 X+2 X 2 X X+2 X 2 0 2 2 X X+2 X 2 2 2 X+2 0 X+2 2 X 0 0 X X+2 0 0 X 0 X+2 X+2 2 0 2 X+2 X+2 X+2 X+2 X 0 0 2 0 0 X+2 X X+2 X+2 0 0 0 0 X 0 X X X 0 2 0 X X+2 X X 2 2 X+2 0 2 X X+2 2 X+2 0 2 0 X X 0 X X X+2 X+2 X+2 X X X+2 X+2 2 X+2 0 0 X 2 X 2 0 0 0 X+2 0 0 0 X+2 X+2 2 0 0 X+2 2 2 X+2 2 2 2 2 2 X+2 X X 0 0 X+2 X+2 2 0 0 X+2 X X+2 X 2 X+2 2 2 0 X+2 0 0 0 0 X X 2 X+2 X 2 X 0 X 2 X+2 X+2 2 X+2 X 0 X 0 X+2 2 0 0 X+2 0 2 X+2 X+2 X 2 X+2 X X X 2 X 2 2 X+2 X+2 X X 2 X X 0 X+2 2 2 X X X+2 2 X+2 2 X X 2 X 2 2 X+2 X 0 2 X+2 2 X+2 2 X+2 X 0 X+2 X 0 0 X+2 X+2 X X+2 0 0 X+2 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+376x^80+32x^81+160x^83+546x^84+356x^85+424x^87+392x^88+604x^89+272x^91+347x^92+156x^93+40x^95+239x^96+4x^97+104x^100+40x^104+2x^108+1x^140 The gray image is a code over GF(2) with n=352, k=12 and d=160. This code was found by Heurico 1.16 in 95 seconds.