The generator matrix

1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 1 1 1 1 1 0 1 1 0 2 1 1 0 1 2 2 2 0 0 1 1 1 2 2 1 0 0 1 0 0 0 0 2 1 2 1 0 1 1 1 1 1 1 1 1 0 0 2 2 1 1 1 1 1 1 0 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 1 3 1 1 3 1 0 3 3 1 1 2 1 1 1 1 1 3 1 0 1 3 1 0 2 2 2 2 1 1 3 2 0 1 1 1 2 0 1 1 1 0 1 1 1 1 1 2 2 2 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 1 2 0 3 1 3 3 0 2 1 2 2 0 0 2 1 0 2 3 3 1 1 2 0 2 2 1 1 0 1 3 1 1 2 1 3 2 3 1 1 2 1 2 1 0 1 0 2 2 2 3 0 3 1 1 2 0 0
0 0 0 1 0 0 0 0 1 1 2 1 2 0 2 2 2 0 0 0 2 1 1 3 3 3 1 3 3 1 0 1 2 2 0 3 3 0 0 3 1 0 0 2 2 2 1 0 0 1 2 1 3 2 2 0 1 1 0 2 1 2 3 1 1 1 2 0 1 0 1 0 1 0 0 0
0 0 0 0 1 0 0 0 1 2 1 3 3 2 1 0 3 1 0 1 0 0 3 3 0 2 1 1 1 2 1 1 2 1 3 1 0 0 0 1 2 1 0 2 3 1 2 0 2 0 1 2 1 1 0 2 3 3 0 2 1 0 1 0 1 3 0 2 2 3 3 1 2 1 0 0
0 0 0 0 0 1 0 1 0 1 3 1 3 2 3 1 0 2 1 2 1 2 1 1 1 1 1 2 1 2 0 0 3 0 2 1 1 3 2 2 2 1 3 1 1 1 3 3 3 3 3 0 1 1 1 3 0 2 0 2 2 3 0 0 1 0 0 3 2 3 2 2 3 1 0 0
0 0 0 0 0 0 1 1 3 2 0 3 1 3 2 1 3 2 0 1 0 3 0 1 2 0 2 2 0 3 2 3 1 1 2 0 1 2 2 3 2 0 0 3 0 3 0 1 2 0 3 3 3 0 0 1 3 0 3 1 3 2 1 0 3 3 2 3 3 0 3 1 1 2 0 0
0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0

generates a code of length 76 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+44x^60+344x^62+904x^64+1299x^66+2004x^68+2675x^70+3275x^72+3805x^74+3845x^76+4003x^78+3526x^80+2693x^82+1927x^84+1156x^86+711x^88+351x^90+123x^92+51x^94+23x^96+4x^98+1x^100+3x^102

The gray image is a code over GF(2) with n=152, k=15 and d=60.
This code was found by Heurico 1.10 in 125 seconds.