Prime p₀= 1231580765522667611 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: mcf2020
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1231579873096525919	0 14 18 74 108 168 200 204 308 312 344 404 438 494 498 512	-892426141692
SPT(16)	1231579899303370343	0 18 30 84 90 110 158 180 188 210 258 278 284 338 350 368	-866219297268
SPT(16)	1231580277886236211	0 10 30 40 72 76 136 138 220 222 282 286 318 328 348 358	-487636431400
SPT(16)	1231580366538763771	0 28 60 96 162 166 168 186 322 340 342 346 412 448 480 508	-398983903840
TPT(14)	1231580449033710869	0 2 42 44 60 62 78 80 90 92 168 170 240 242	-316488956742
SPT(16)	1231580547524520953	0 6 14 56 68 96 126 144 170 188 218 246 258 300 308 314	-217998146658
SPT(18)	1231580767859797981	0 6 30 42 72 90 106 120 132 136 148 162 178 196 226 238 262 268	2337130370
STPT(10)	1231580926857115517	0 2 42 44 72 74 102 104 144 146	161334447906
STPT(10)	1231581006916864559	0 2 42 44 90 92 138 140 180 182	241394196948
STPT(10)	1231581050183481119	0 2 12 14 90 92 168 170 180 182	284660813508
STPT(10)	1231581177048699707	0 2 24 26 42 44 60 62 84 86	411526032096