The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 X 1 1 0 1 1 2 1 1 1 1 1 X+2 1 1 X+2 0 1 1 X+2 1 1 1 X 1 1 1 1 1 1 1 0 1 1 1 2 1 1 1 1 1 X 1 1 0 1 1 X X+2 2 1 1 X+2 1 1 0 1 1 X 1 1 1 0 X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 X X+3 1 1 3 0 1 1 0 1 X+1 X+2 1 2 3 X+1 X+1 X+2 1 0 3 1 1 1 0 1 3 X+2 X+1 1 X+3 1 X+2 0 X X 3 1 1 1 3 1 X+1 2 X+3 X+2 0 2 X+1 X+2 1 X 3 1 1 1 2 0 1 X X+1 1 X+2 X X+2 X+2 3 1 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 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+165x^80+44x^81+316x^82+116x^83+479x^84+156x^85+368x^86+196x^87+451x^88+196x^89+448x^90+156x^91+396x^92+116x^93+256x^94+44x^95+123x^96+20x^98+28x^100+8x^104+8x^108+3x^112+1x^116+1x^120 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 8.91 seconds.