Prime p₀= 2956342255089736991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: MarkRBright
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2956341015531144161	0 12 50 68 78 98 140 152 228 240 282 302 312 330 368 380	-1239558592830
SPT(16)	2956341131583969691	0 28 30 48 66 100 112 118 150 156 168 202 220 238 240 268	-1123505767300
TPT(14)	2956341197591196131	0 2 6 8 36 38 78 80 90 92 168 170 486 488	-1057498540860
SPT(16)	2956341553839226037	0 44 90 134 176 200 216 240 260 284 300 324 366 410 456 500	-701250510954
SPT(16)	2956341755702464471	0 40 66 82 88 102 130 168 220 258 286 300 306 322 348 388	-499387272520
SPT(16)	2956341857891563223	0 8 54 68 78 140 176 216 278 318 354 416 426 440 486 494	-397198173768
SPT(16)	2956342300214468467	0 4 30 64 96 186 196 214 222 240 250 340 372 406 432 436	45124731476
STPT(10)	2956342630098117311	0 2 6 8 18 20 30 32 36 38	375008380320
TPT(14)	2956342702486262819	0 2 228 230 372 374 378 380 498 500 540 542 660 662	447396525828
STPT(10)	2956342736399599367	0 2 60 62 72 74 84 86 144 146	481309862376
TPT(16)	2956342918125462641	0 2 96 98 138 140 150 152 156 158 276 278 360 362 378 380	663035725650