Prime p₀= 1018125293933368469 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: vinn@[CNT]
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1018124244546061123	0 16 18 58 94 144 168 184 240 256 280 330 366 406 408 424	-1049387307346
STPT(10)	1018124329188590579	0 2 42 44 90 92 138 140 180 182	-964744777890
SPT(16)	1018124789543056007	0 14 26 42 44 50 66 134 282 350 366 372 374 390 402 416	-504390312462
SPT(16)	1018124867486969773	0 4 60 90 126 144 160 180 244 264 280 298 334 364 420 424	-426446398696
STPT(10)	1018124871109737197	0 2 42 44 102 104 162 164 204 206	-422823631272
SPT(16)	1018124960730043609	0 60 72 114 144 174 232 240 244 252 310 340 370 412 424 484	-333203324860
SPT(16)	1018125563845040653	0 16 34 36 60 114 120 190 210 280 286 340 364 366 384 400	269911672184
SPT(16)	1018125775159598629	0 34 72 90 118 132 172 184 198 210 250 264 292 310 348 382	481226230160
STPT(10)	1018126219909988081	0 2 6 8 48 50 90 92 96 98	925976619612
SPT(16)	1018126357606989821	0 36 80 120 156 192 198 260 318 380 386 422 458 498 542 578	1063673621352
TPT(14)	1018126377077732969	0 2 12 14 60 62 90 92 102 104 132 134 168 170	1083144364500