The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+126x^24+135x^26+62x^27+474x^28+252x^29+673x^30+676x^31+1335x^32+1460x^33+1726x^34+2474x^35+2437x^36+3256x^37+2603x^38+3256x^39+2250x^40+2504x^41+1936x^42+1490x^43+1265x^44+652x^45+849x^46+228x^47+256x^48+68x^49+226x^50+6x^51+47x^52+33x^54+9x^58+1x^60+2x^62

The gray image is a code over GF(2) with n=76, k=15 and d=24.
This code was found by Heurico 1.16 in 47.7 seconds.