Prime p₀= 2179149122536686257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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-2W]Kurzer
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2179148005615748119	0 28 82 84 94 102 142 144 148 150 190 198 208 210 264 292	-1116920938138
STPT(10)	2179148043500769161	0 2 6 8 18 20 30 32 36 38	-1079035917096
STPT(10)	2179148151431146451	0 2 6 8 48 50 90 92 96 98	-971105539806
SPT(16)	2179148533855786789	0 18 114 132 148 150 178 184 288 294 322 324 340 358 454 472	-588680899468
SPT(16)	2179148799671688113	0 44 80 90 114 126 216 266 324 374 464 476 500 510 546 590	-322864998144
SPT(16)	2179149060580217941	0 10 28 52 88 102 108 112 186 190 196 210 246 270 288 298	-61956468316
STPT(10)	2179149501321433967	0 2 30 32 42 44 54 56 84 86	378784747710
STPT(10)	2179149718741837781	0 2 36 38 78 80 120 122 156 158	596205151524
SPT(16)	2179150095824729947	0 10 24 36 90 106 150 154 156 160 204 220 274 286 300 310	973288043690
SPT(16)	2179150487976733421	0 66 78 80 120 132 146 156 182 192 206 218 258 260 272 338	1365440047164
TPT(14)	2179150509059956517	0 2 192 194 204 206 252 254 282 284 294 296 330 332	1386523270260