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 X 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 0 1 1 X 1 0 1 0 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 2 X 2 X+2 0 X+2 0 X 0 X+2 2 X+2 0 X 2 X 0 X+2 0 X+2 2 X X+2 0 X+2 X 0 2 2 X 0 X+2 X+2 0 2 X X X+2 X+2 X X 0 2 2 X 0 2 X+2 0 0 0 2 2 2 X X+2 X+2 X+2 X X X 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 0 0 2 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+228x^72+48x^74+64x^75+112x^76+256x^77+160x^78+384x^79+149x^80+256x^81+48x^82+64x^83+112x^84+164x^88+1x^96+1x^144 The gray image is a code over GF(2) with n=316, k=11 and d=144. This code was found by Heurico 1.16 in 62.4 seconds.