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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 1 X 1 0 1 1 X 0 1 1 X 1 X 0 X 1 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 2 X+2 2 X 0 0 X+2 X 0 2 0 X+2 X+2 X 2 X 0 X+2 0 X+2 0 X+2 X 2 X X 0 0 0 2 X X 2 X X X 2 0 2 X X+2 X+2 X X+2 X X 0 2 0 0 2 X+2 0 X 2 X+2 X+2 X 0 X 0 X X+2 X X+2 2 X X X 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+78x^77+32x^78+56x^80+150x^81+85x^82+80x^83+203x^84+216x^85+291x^86+160x^87+212x^88+184x^89+74x^90+16x^91+18x^92+106x^93+22x^94+17x^96+34x^97+1x^98+3x^100+7x^102+1x^104+1x^152 The gray image is a code over GF(2) with n=344, k=11 and d=154. This code was found by Heurico 1.16 in 14.3 seconds.