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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+87x^58+372x^60+838x^62+1387x^64+2031x^66+2688x^68+3227x^70+3764x^72+3833x^74+3818x^76+3522x^78+2673x^80+1984x^82+1292x^84+700x^86+334x^88+130x^90+46x^92+24x^94+9x^96+7x^98+1x^102

The gray image is a code over GF(2) with n=148, k=15 and d=58.
This code was found by Heurico 1.10 in 183 seconds.