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 2 1 2 1 1 X 1 1 1 1 X 1 1 X 1 X 1 1 1 2 X 1 2 X 1 2 X 0 0 2 0 X 1 1 X 1 1 0 X 1 1 X 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 X+2 0 2 X X 2 X 0 X X X+2 X X+2 X+2 2 2 X 2 2 X X 0 X+2 X+2 2 2 0 0 X X 0 X X+2 2 X X X X X 0 0 X 0 X+2 2 2 X X X+2 X+2 0 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 0 2 X 2 X X X 2 X 0 0 X+2 0 X X X 2 X X+2 X X+2 0 X 0 0 2 0 2 X 2 X+2 2 0 2 X X X+2 X+2 X+2 X X X 0 X 2 X 0 2 X+2 X 2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 0 X 2 X+2 X+2 X X 2 2 X 0 2 X+2 2 0 2 X+2 0 X+2 0 0 X X 2 X X+2 X+2 X 0 X X 0 2 0 X+2 0 X X+2 0 0 X+2 2 0 X X X X 0 X 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+110x^66+4x^67+276x^68+56x^69+330x^70+132x^71+401x^72+196x^73+516x^74+236x^75+448x^76+212x^77+371x^78+140x^79+260x^80+44x^81+125x^82+91x^84+4x^85+71x^86+46x^88+13x^90+12x^92+1x^108 The gray image is a code over GF(2) with n=300, k=12 and d=132. This code was found by Heurico 1.16 in 1.81 seconds.