Prime p₀= 1231746596289135131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Rhodan71
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1231743713353446091	0 28 52 58 142 172 210 222 238 250 288 318 402 408 432 460	-2882935689040
TPT(14)	1231743935882097107	0 2 42 44 54 56 72 74 114 116 120 122 150 152	-2660407038024
SPT(16)	1231744002507862817	0 42 72 80 86 102 110 150 212 252 260 276 282 290 320 362	-2593781272314
STPT(10)	1231744086041925899	0 2 18 20 60 62 102 104 120 122	-2510247209232
SPT(16)	1231744805955174769	0 10 30 34 40 114 118 172 180 234 238 312 318 322 342 352	-1790333960362
SPT(16)	1231745884008775693	0 6 28 78 90 106 120 208 216 304 318 334 346 396 418 424	-712280359438
SPT(16)	1231747115824748591	0 38 60 66 78 96 180 182 186 188 272 290 302 308 330 368	519535613460
SPT(16)	1231747218166313089	0 24 30 52 70 82 120 124 150 154 192 204 222 244 250 274	621877177958
STPT(10)	1231748046580230857	0 2 30 32 42 44 54 56 84 86	1450291095726
STPT(10)	1231748547209360207	0 2 30 32 42 44 54 56 84 86	1950920225076
STPT(10)	1231749110456361197	0 2 30 32 42 44 54 56 84 86	2514167226066