Prime p₀= 2311186899741160421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: FritzB
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2311185340198530919	0 22 54 88 112 190 210 238 264 292 312 390 414 448 480 502	-1559542629502
SPT(16)	2311185517697510599	0 40 82 94 144 148 162 190 252 280 294 298 348 360 402 442	-1382043649822
SPT(16)	2311185573869427131	0 2 48 56 86 108 116 122 126 132 140 162 192 200 246 248	-1325871733290
TPT(14)	2311185904661614217	0 2 24 26 42 44 72 74 144 146 210 212 222 224	-995079546204
TPT(14)	2311186475470621277	0 2 60 62 114 116 180 182 222 224 324 326 354 356	-424270539144
STPT(10)	2311186713171553727	0 2 42 44 72 74 102 104 144 146	-186569606694
STPT(12)	2311187454918852239	0 2 42 44 78 80 132 134 168 170 210 212	555177691818
SPT(16)	2311187665759362109	0 48 108 114 144 154 168 172 180 184 198 208 238 244 304 352	766018201688
TPT(14)	2311187961341158979	0 2 60 62 78 80 102 104 162 164 210 212 228 230	1061599998558
TPT(14)	2311187985575503169	0 2 48 50 90 92 102 104 132 134 210 212 258 260	1085834342748
SPT(16)	2311188017178209047	0 6 16 36 76 112 114 130 186 202 204 240 280 300 310 316	1117437048626