The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 1 2 0 2 1 0 1 1 1 1 2 1 2 0 2 1 0 2 2 0 1 1 0 1 0 0 0 1 1 1 0 0 1 3 1 1 0 3 2 1 2 3 1 0 0 2 0 0 3 0 1 2 3 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 2 0 1 1 3 0 2 1 2 0 0 0 3 0 1 2 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 3 3 2 1 0 1 3 2 0 3 0 3 1 1 1 2 3 3 2 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 generates a code of length 37 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+61x^24+44x^25+215x^26+174x^27+476x^28+534x^29+864x^30+1086x^31+1532x^32+1956x^33+2291x^34+2816x^35+2723x^36+3110x^37+2787x^38+2876x^39+2282x^40+1988x^41+1538x^42+1070x^43+930x^44+514x^45+422x^46+166x^47+169x^48+44x^49+67x^50+4x^51+15x^52+2x^53+7x^54+3x^56+1x^58 The gray image is a code over GF(2) with n=74, k=15 and d=24. This code was found by Heurico 1.16 in 47 seconds.