The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 1 2 0 1 0 1 2 2 1 2 0 0 1 1 2 0 1 2 2 2 1 2 1 1 1 1 1 0 1 1 1 1 2 0 2 0 1 1 2 1 1 1 0 1 2 0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 3 1 1 2 1 3 1 2 1 0 1 0 3 2 2 0 2 1 1 1 3 2 2 3 2 0 0 1 1 3 2 1 1 1 1 0 0 0 1 0 1 2 1 2 1 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 3 2 0 3 0 3 3 1 2 1 0 1 3 0 1 1 1 3 0 2 1 1 2 3 1 1 3 1 3 2 3 3 0 1 2 0 2 2 3 3 1 3 2 1 2 0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 0 3 1 1 2 0 2 3 3 2 0 3 0 2 2 3 2 3 0 1 0 2 2 3 0 0 3 3 1 3 3 3 1 3 0 2 0 1 2 2 2 3 1 2 3 0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 3 3 3 3 2 1 0 1 0 1 2 2 0 2 0 3 2 0 2 2 3 1 1 2 0 0 2 1 0 3 1 3 1 1 0 2 2 3 0 3 1 1 0 0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 0 3 0 3 3 1 1 2 0 1 0 2 2 0 2 1 1 3 3 2 1 1 3 1 1 2 0 1 2 0 3 3 3 2 0 2 1 1 3 2 0 1 3 2 3 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 generates a code of length 66 over Z4 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+94x^55+236x^56+242x^57+271x^58+338x^59+412x^60+410x^61+430x^62+462x^63+488x^64+512x^65+473x^66+528x^67+516x^68+448x^69+402x^70+444x^71+328x^72+308x^73+277x^74+148x^75+163x^76+108x^77+64x^78+32x^79+27x^80+18x^81+2x^82+2x^83+4x^84+2x^85+1x^92+1x^98 The gray image is a code over GF(2) with n=132, k=13 and d=55. This code was found by Heurico 1.10 in 146 seconds.