Prime p₀= 2268486756804024311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2268485625071112829	0 18 48 70 84 118 144 172 210 238 264 298 312 334 364 382	-1131732911482
SPT(16)	2268485877977957377	0 10 46 64 82 102 106 120 136 150 154 174 192 210 246 256	-878826066934
SPT(18)	2268486474599047361	0 92 98 170 200 240 246 266 270 278 282 302 308 348 378 450 456 548	-282204976950
SPT(16)	2268486498909093457	0 10 24 36 52 54 82 120 256 294 322 324 340 352 366 376	-257894930854
STPT(10)	2268486636204927497	0 2 60 62 72 74 84 86 144 146	-120599096814
SPT(16)	2268486694116748141	0 12 22 46 66 102 106 168 190 252 256 292 312 336 346 358	-62687276170
SPT(16)	2268486859804129759	0 12 58 78 100 142 148 198 214 264 270 312 334 354 400 412	103000105448
TPT(14)	2268487288356417677	0 2 24 26 84 86 180 182 234 236 264 266 360 362	531552393366
SPT(16)	2268487318266185671	0 22 88 96 102 132 168 172 246 250 286 316 322 330 396 418	561462161360
SPT(16)	2268487329182243977	0 36 42 52 82 96 126 150 166 190 220 234 264 274 280 316	572378219666
SPT(16)	2268487345541419777	0 12 22 34 42 66 90 102 154 166 190 214 222 234 244 256	588737395466