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 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X+2 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 0 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 0 0 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 0 0 2X 0 2X 2X 0 0 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 0 2X 0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 0 0 2X 2X 2X 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 0 2X 0 2X 0 0 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 2X 2X generates a code of length 81 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+35x^74+50x^76+16x^77+36x^78+64x^79+288x^80+1120x^81+282x^82+64x^83+15x^84+16x^85+11x^86+16x^88+11x^90+4x^92+8x^94+7x^96+3x^100+1x^150 The gray image is a code over GF(2) with n=648, k=11 and d=296. This code was found by Heurico 1.16 in 32.5 seconds.