Prime p₀= 1117667753108122001 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1117666451841645491	0 2 30 32 78 80 126 128 156 158	-1301266476510
STPT(10)	1117667110120311731	0 2 36 38 78 80 120 122 156 158	-642987810270
STPT(10)	1117667463611308661	0 2 6 8 18 20 30 32 36 38	-289496813340
SPT(16)	1117667485981972973	0 14 60 108 134 144 150 158 210 218 224 234 260 308 354 368	-267126149028
SPT(16)	1117667512517209421	0 20 26 36 50 158 218 230 258 270 330 438 452 462 468 488	-240590912580
SPT(16)	1117667737645829081	0 32 38 48 62 96 108 138 230 260 272 306 320 330 336 368	-15462292920
SPT(16)	1117667793486038413	0 40 54 58 64 124 138 180 394 436 450 510 516 520 534 574	40377916412
SPT(16)	1117667904101237999	0 2 24 30 32 38 80 90 122 132 174 180 182 188 210 212	150993115998
SPT(16)	1117667967239018213	0 20 30 68 84 144 210 240 254 284 350 410 426 464 474 494	214130896212
STPT(10)	1117668315772808477	0 2 30 32 42 44 54 56 84 86	562664686476
SPT(16)	1117668419106775801	0 66 70 82 96 102 156 180 298 322 376 382 396 408 412 478	665998653800