Prime p₀= 3091317396327333317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Tomasz Kaczmarek
db: batch=83, k=10, 2 40 2 28 2

SPT(16)	3091316076477241043	0 8 14 68 120 134 138 168 230 260 264 278 330 384 390 398	-1319850092274
SPT(16)	3091316255592802151	0 36 38 56 90 126 140 146 180 186 200 236 270 288 290 326	-1140734531166
TPT(14)	3091316331753969197	0 2 30 32 60 62 180 182 264 266 294 296 312 314	-1064573364120
STPT(10)	3091316644441653539	0 2 18 20 30 32 42 44 60 62	-751885679778
STPT(10)	3091316811266403491	0 2 30 32 78 80 126 128 156 158	-585060929826
STPT(10)	3091317045035429459	0 2 18 20 30 32 42 44 60 62	-351291903858
SPT(16)	3091317915997379183	0 8 14 30 56 84 104 120 134 150 170 198 224 240 246 254	519670045866
SPT(16)	3091318038331238021	0 12 26 38 60 78 138 168 260 290 350 368 390 402 416 428	642003904704
TPT(16)	3091318607780327621	0 2 6 8 156 158 210 212 228 230 270 272 306 308 366 368	1211452994304
SPT(16)	3091318832317091251	0 12 66 88 130 148 156 168 250 262 270 288 330 352 406 418	1435989757934
SPT(18)	3091318848066120043	0 36 40 54 60 78 84 88 124 150 186 190 196 214 220 234 238 274	1451738786726