The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  0  1  5  1 15  1  1  1  1  1 15  1  5  1 15  1  1  1  1  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 20  1  1  0  1  1  5  1  1  1  0  1  5 10  1  1 20  1  1  1  1 20
 0  1  0  0 15 20 16 21  1 22 24 12 23  1 13  1 10  1  9 13  4 21 20  1  1  1 23  1 15  3  7 22  9 23  1  4  2 13  7 19 22  3  7  4  2 15  5 19 20 10  1 13  8  1  0 19  1 22  9 23  1 16 20  1 24  2  1 18  8  3 22  0
 0  0  1  0 16 22  8  1  2  6  7  5 18  4  5  5 24  6  0  2 19  4  0 16 12 13  7  3 21  1  3 21  8 20 17  7 24 11 23  4 23  8  9 15 17  9  5 11  2  8  9  9 14 17 23 21 21 10 10  3  9  5  1  0 18 10 22  7  7  6  4  1
 0  0  0  1  8 22 13 16  5 17 21  6 10 23  3 19 22  3 15  4 14  1  6 12 18  0  8  9 19 12 18  9  2 14 12  4 17 15 10 21 19 21 13 16 16  6 23  2 21 23 15 24 10 14 15  1  1  3  4  7 19 16 11 16  5  0  6 10  1  8  0  7

generates a code of length 72 over Z25 who´s minimum homogenous weight is 267.

Homogenous weight enumerator: w(x)=1x^0+440x^267+1320x^268+1780x^269+1464x^270+1660x^271+3380x^272+5000x^273+5800x^274+5228x^275+4640x^276+8020x^277+10320x^278+11260x^279+9388x^280+6940x^281+13760x^282+17700x^283+16060x^284+13208x^285+11700x^286+22040x^287+24560x^288+21860x^289+16760x^290+12660x^291+23680x^292+26200x^293+18080x^294+13012x^295+8960x^296+13020x^297+12280x^298+10460x^299+5524x^300+3140x^301+3160x^302+2620x^303+2200x^304+972x^305+300x^306+32x^310+16x^315+4x^320+12x^325+4x^340

The gray image is a code over GF(5) with n=360, k=8 and d=267.
This code was found by Heurico 1.16 in 278 seconds.