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 X 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 X X X 1 X 2 2 X 2 X 1 X 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+43x^70+101x^72+107x^74+92x^76+128x^77+127x^78+384x^79+151x^80+384x^81+115x^82+128x^83+82x^84+65x^86+51x^88+25x^90+16x^92+21x^94+15x^96+9x^98+2x^100+1x^128 The gray image is a code over GF(2) with n=320, k=11 and d=140. This code was found by Heurico 1.16 in 71.8 seconds.