The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 0 2 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 3 1 0 0 3 1 1 3 3 3 0 3 1 0 0 1 3 1 1 2 1 2 3 2 1 0 3 3 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 generates a code of length 45 over Z4 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+38x^34+12x^35+96x^36+84x^37+144x^38+162x^39+198x^40+234x^41+249x^42+344x^43+305x^44+360x^45+314x^46+340x^47+254x^48+292x^49+189x^50+140x^51+119x^52+52x^53+68x^54+26x^55+42x^56+2x^57+19x^58+7x^60+2x^62+1x^64+1x^66+1x^68 The gray image is a code over GF(2) with n=90, k=12 and d=34. This code was found by Heurico 1.16 in 1.75 seconds.