The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 0 2 1 1 2 2 1 1 2 2 1 1 1 1 1 0 2 2 1 1 2 1 1 1 2 0 2 1 1 1 0 1 1 1 1 0 2 0 1 0 1 1 2 2 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 0 2 1 1 1 1 0 2 3 1 0 1 3 1 1 2 2 0 1 3 3 0 2 1 1 1 0 2 0 1 3 0 1 2 1 1 1 0 1 3 0 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 2 3 2 1 0 3 1 1 2 3 3 0 3 2 1 1 1 2 0 0 2 3 2 2 3 0 2 0 0 1 2 1 2 0 0 0 1 0 0 3 1 0 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 0 1 2 1 1 0 3 0 0 3 0 1 2 3 0 2 2 0 0 3 3 3 0 2 1 0 0 0 2 3 1 0 2 2 1 1 2 1 0 1 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 generates a code of length 66 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+66x^52+68x^53+178x^54+196x^55+326x^56+430x^57+530x^58+626x^59+675x^60+756x^61+869x^62+966x^63+982x^64+1012x^65+987x^66+1052x^67+973x^68+1038x^69+836x^70+792x^71+707x^72+590x^73+496x^74+402x^75+288x^76+184x^77+173x^78+62x^79+61x^80+16x^81+19x^82+13x^84+2x^85+8x^86+3x^88+1x^108 The gray image is a code over GF(2) with n=132, k=14 and d=52. This code was found by Heurico 1.16 in 71.6 seconds.