The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+60x^26+112x^27+285x^28+414x^29+633x^30+832x^31+1209x^32+1492x^33+1969x^34+2304x^35+2498x^36+2902x^37+2898x^38+3048x^39+2789x^40+2544x^41+1950x^42+1560x^43+1161x^44+706x^45+589x^46+312x^47+224x^48+124x^49+85x^50+24x^51+24x^52+10x^53+8x^54+1x^56

The gray image is a code over GF(2) with n=76, k=15 and d=26.
This code was found by Heurico 1.16 in 55.1 seconds.