Prime p₀= 1144725253041164489 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: Putin Has a Small Dick
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1144724549836165663	0 4 18 28 30 46 154 156 208 210 318 334 336 346 360 364	-703204998826
SPT(16)	1144724632894911143	0 36 38 48 116 186 228 230 246 248 290 360 428 438 440 476	-620146253346
SPT(16)	1144724648341250029	0 22 72 82 132 154 172 204 208 240 258 280 330 340 390 412	-604699914460
STPT(10)	1144724710005124277	0 2 12 14 42 44 72 74 84 86	-543036040212
STPT(10)	1144725176924224307	0 2 24 26 42 44 60 62 84 86	-76116940182
SPT(16)	1144725238548065299	0 42 88 90 112 132 142 160 192 210 220 240 262 264 310 352	-14493099190
SPT(16)	1144725343307307121	0 28 66 72 90 106 112 118 150 156 162 178 196 202 240 268	90266142632
SPT(16)	1144725487140233291	0 2 18 80 90 96 152 156 182 186 242 248 258 320 336 338	234099068802
SPT(16)	1144725707580607531	0 46 52 58 60 126 142 148 150 156 172 238 240 246 252 298	454539443042
SPT(16)	1144725992788103599	0 4 102 154 184 198 228 238 324 334 364 378 408 460 558 562	739746939110
STPT(10)	1144726184857525901	0 2 36 38 78 80 120 122 156 158	931816361412