The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 1 1 1 1 2 1 0 2 1 2 2 X 1 2 1 1 1 1 0 2 1 1 X 1 1 2 X+2 1 1 1 0 X 0 1 1 1 1 1 0 1 1 X 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 X+2 X 3 1 X+2 0 1 1 X 1 1 2 X+1 1 X+3 3 1 0 1 1 X+1 2 X+2 X 0 1 1 X+3 2 2 1 1 X+2 X+1 X+3 3 3 X+2 1 X 3 1 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+1 X+2 0 X+1 1 0 X+3 X+1 3 X X+2 1 3 X+3 X+2 X 3 X+3 1 X 0 X+2 1 X+1 2 X+2 1 1 1 X+3 1 X+2 1 X+1 X+1 3 X+3 1 1 X X X+2 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+189x^62+132x^63+600x^64+436x^65+1248x^66+840x^67+1541x^68+1140x^69+1692x^70+1148x^71+1618x^72+1052x^73+1389x^74+804x^75+1106x^76+412x^77+518x^78+144x^79+205x^80+32x^81+54x^82+4x^83+41x^84+24x^86+8x^88+5x^90+1x^94 The gray image is a code over GF(2) with n=284, k=14 and d=124. This code was found by Heurico 1.16 in 14.4 seconds.