Prime p₀= 2313014010728367407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: WTBroughton
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2313012935349210271	0 30 36 88 106 126 160 192 196 228 262 282 300 352 358 388	-1075379157136
SPT(16)	2313013144645542917	0 2 32 50 110 156 186 230 252 296 326 372 432 450 480 482	-866082824490
STPT(10)	2313013362928983719	0 2 12 14 90 92 168 170 180 182	-647799383688
SPT(16)	2313013526811759179	0 72 114 170 174 200 224 228 254 258 282 308 312 368 410 482	-483916608228
SPT(16)	2313013669471467449	0 42 48 78 90 110 168 188 204 224 282 302 314 344 350 392	-341256899958
SPT(16)	2313013706090288363	0 50 54 78 96 114 164 180 224 240 290 308 326 350 354 404	-304638079044
SPT(16)	2313014291719078067	0 60 66 74 126 182 224 234 242 252 294 350 402 410 416 476	280990710660
SPT(16)	2313014376597811877	0 12 50 92 102 104 132 134 180 182 210 212 222 264 302 314	365869444470
STPT(10)	2313014396949215369	0 2 48 50 90 92 132 134 180 182	386220847962
SPT(16)	2313014580847603873	0 28 36 84 144 168 186 216 268 298 316 340 400 448 456 484	570119236466
SPT(16)	2313014795259139921	0 6 70 78 96 136 166 196 300 330 360 400 418 426 490 496	784530772514