Prime p₀= 2497271436571878059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2497269974335159693	0 66 96 120 130 186 190 196 228 234 238 294 304 328 358 424	-1462236718366
STPT(10)	2497270414856195219	0 2 42 44 90 92 138 140 180 182	-1021715682840
STPT(10)	2497270738725973631	0 2 36 38 78 80 120 122 156 158	-697845904428
STPT(10)	2497270970241852281	0 2 36 38 78 80 120 122 156 158	-466330025778
TPT(14)	2497271137621990241	0 2 96 98 120 122 150 152 306 308 336 338 408 410	-298949887818
STPT(12)	2497271431960142609	0 2 90 92 102 104 198 200 210 212 300 302	-4611735450
STPT(10)	2497271588574009341	0 2 6 8 48 50 90 92 96 98	152002131282
SPT(16)	2497271908390527209	0 12 42 90 144 168 182 194 288 300 314 338 392 440 470 482	471818649150
SPT(16)	2497272072240173611	0 6 10 60 66 70 96 118 138 160 186 190 196 246 250 256	635668295552
SPT(16)	2497272234508767481	0 6 12 22 30 82 142 216 232 306 366 418 426 436 442 448	797936889422
SPT(16)	2497272935748729049	0 28 42 58 90 142 184 198 214 228 270 322 354 370 384 412	1499176850990