Prime p₀= 2666200175729750057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2666199531812983703	0 38 80 84 116 138 158 218 276 336 356 378 410 414 456 494	-643916766354
STPT(10)	2666199621296641889	0 2 18 20 30 32 42 44 60 62	-554433108168
SPT(16)	2666199748857791221	0 6 36 52 78 96 130 138 160 168 202 220 246 262 292 298	-426871958836
STPT(10)	2666199823663164947	0 2 30 32 72 74 114 116 144 146	-352066585110
STPT(10)	2666200031655207401	0 2 6 8 48 50 90 92 96 98	-144074542656
SPT(16)	2666200139985997541	0 12 72 86 128 182 192 210 218 236 246 300 342 356 416 428	-35743752516
TPT(14)	2666200345843104947	0 2 30 32 60 62 84 86 90 92 120 122 162 164	170113354890
STPT(10)	2666200614182688179	0 2 18 20 60 62 102 104 120 122	438452938122
STPT(10)	2666201079555973367	0 2 42 44 72 74 102 104 144 146	903826223310
SPT(16)	2666201311323233689	0 48 90 108 130 154 210 234 274 298 354 378 400 418 460 508	1135593483632
SPT(16)	2666201393662421039	0 14 24 80 90 110 152 242 300 390 432 452 462 518 528 542	1217932670982