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 X 0 1 X 0 1 1 X 1 0 1 1 X 1 0 1 X 1 0 1 1 X 0 1 1 1 1 1 1 0 1 1 1 1 1 2 1 1 X X 1 1 1 1 2 X 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 X+2 0 2 2 X X+2 X X+2 X+2 X 0 2 X+2 X+2 X 2 X+2 X+2 X+2 X X X+2 2 X 0 0 X+2 X X 0 X+2 X+2 0 X X 0 X+2 X X+2 X X X 0 X+2 2 2 X 2 0 2 2 X+2 2 X 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+84x^62+167x^64+287x^66+32x^67+452x^68+160x^69+650x^70+352x^71+933x^72+480x^73+1059x^74+480x^75+960x^76+352x^77+666x^78+160x^79+376x^80+32x^81+215x^82+132x^84+78x^86+35x^88+21x^90+8x^92+10x^94+7x^96+2x^98+1x^112 The gray image is a code over GF(2) with n=296, k=13 and d=124. This code was found by Heurico 1.16 in 29 seconds.