Prime p₀= 2168467881355116137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Penguin
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2168466383628655931	0 2 6 8 18 20 30 32 36 38	-1497726460206
SPT(16)	2168466551484557437	0 16 40 42 70 94 136 156 190 210 252 276 304 306 330 346	-1329870558700
SPT(16)	2168467204072371989	0 14 30 44 54 78 90 140 168 218 230 254 264 278 294 308	-677282744148
SPT(16)	2168467416916297789	0 64 78 88 174 234 288 318 340 370 424 484 570 580 594 658	-464438818348
STPT(12)	2168467418961846437	0 2 12 14 24 26 30 32 42 44 54 56	-462393269700
SPT(16)	2168467720956057133	0 4 18 106 126 130 148 160 174 186 204 208 228 316 330 334	-160399059004
STPT(10)	2168468235802518047	0 2 30 32 72 74 114 116 144 146	354447401910
STPT(10)	2168468296373515259	0 2 12 14 30 32 48 50 60 62	415018399122
STPT(10)	2168468822325888077	0 2 30 32 72 74 114 116 144 146	940970771940
SPT(16)	2168469133834855921	0 12 42 66 72 90 180 198 220 238 328 346 352 376 406 418	1252479739784
SPT(16)	2168469152880409151	0 2 42 80 86 110 122 146 156 180 192 216 222 260 300 302	1271525293014