Prime p₀= 5817146733277391 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 4 38 28 24 8 22 8 24 28 38 4 26 (?)
a_n: 0 26 30 68 96 120 128 150 158 182 210 248 252 278
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Egon olsen
db: batch=62, k=14, 26 4 38 28 24 8 22

SPT(14)	5817065740841053	0 28 30 34 54 66 84 100 118 130 150 154 156 184	-80992436338
SPT(14)	5817071226854669	0 14 18 48 60 68 74 78 84 92 104 134 138 152	-75506422722
SPT(14)	5817081231065033	0 30 48 56 68 98 114 140 156 186 198 206 224 254	-65502212358
SPT(14)	5817104776672297	0 6 10 42 64 72 94 132 154 162 184 216 220 226	-41956605094
STPT(10)	5817108816364577	0 2 30 32 42 44 54 56 84 86	-37916912814
SPT(14)	5817110864584421	0 2 36 120 132 138 212 216 290 296 308 392 426 428	-35868692970
SPT(14)	5817159083883661	0 12 40 42 66 70 112 150 192 196 220 222 250 262	12350606270
SPT(14)	5817161697559109	0 8 32 42 50 78 84 98 104 132 140 150 174 182	14964281718
SPT(14)	5817166267743641	0 2 66 68 98 108 150 188 230 240 270 272 336 338	19534466250
SPT(14)	5817177974589497	0 14 20 24 26 36 54 62 80 90 92 96 102 116	31241312106
SPT(14)	5817180588457661	0 12 20 38 78 80 108 122 150 152 192 210 218 230	33855180270