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 X 0 1 1 1 1 1 1 1 X 1 0 1 1 1 1 1 X 1 1 1 0 1 1 1 1 1 1 1 X 1 2 1 0 1 0 1 2 X 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X X+2 X 0 0 2 2 0 X+2 0 X+2 X X+2 0 X+2 X+2 X+2 0 0 X+2 X X 0 X+2 X X+2 X X+2 X 2 0 X X+2 2 X X+2 X+2 2 X 0 0 2 2 X X+2 X 2 0 X+2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+91x^66+149x^68+24x^69+136x^70+96x^71+288x^72+152x^73+297x^74+128x^75+212x^76+72x^77+170x^78+32x^79+73x^80+8x^81+53x^82+33x^84+12x^86+6x^88+7x^90+5x^92+2x^94+1x^124 The gray image is a code over GF(2) with n=296, k=11 and d=132. This code was found by Heurico 1.16 in 0.923 seconds.