The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 0 1 1 1 1 X+2 0 1 1 1 1 2 1 1 1 2 1 2 X+2 1 1 X 1 1 0 1 1 1 1 1 1 1 1 1 2 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 X 2 1 X+2 1 1 0 1 1 1 2 0 X+2 0 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 X+3 3 X+2 1 1 3 X+2 X+3 X+2 1 1 2 X 3 X+3 1 1 X+3 X 1 3 1 1 X+2 3 1 2 X 1 X+1 0 1 X+3 X+3 0 0 X+2 2 1 3 3 1 1 3 1 X+1 1 2 3 X+3 1 0 X+1 X X X+2 1 1 X+3 1 X 0 1 X X+3 0 1 1 1 1 2 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X X 2 X 2 X X 2 2 0 0 2 X+2 X 2 X+2 X+2 X+2 2 X X 0 0 X 0 0 X+2 X+2 0 0 X 2 X+2 2 X+2 2 X+2 X+2 X+2 X 0 X X 0 0 2 2 X 0 X+2 2 2 X+2 0 X X 0 2 2 2 X+2 2 0 X X 2 X 0 2 0 X+2 X 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 0 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+60x^78+32x^79+287x^80+236x^81+405x^82+416x^83+492x^84+588x^85+610x^86+780x^87+600x^88+772x^89+535x^90+588x^91+413x^92+420x^93+295x^94+228x^95+184x^96+32x^97+99x^98+4x^99+52x^100+32x^102+14x^104+9x^106+1x^108+3x^110+2x^112+2x^116 The gray image is a code over GF(2) with n=352, k=13 and d=156. This code was found by Heurico 1.16 in 6.45 seconds.