Prime p₀= 1295673266320699727 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1295672214085545053	0 18 24 30 98 108 150 158 366 374 416 426 494 500 506 524	-1052235154674
STPT(10)	1295672381100290927	0 2 30 32 42 44 54 56 84 86	-885220408800
TPT(14)	1295672388466264811	0 2 6 8 36 38 60 62 78 80 120 122 156 158	-877854434916
STPT(10)	1295672664424855427	0 2 12 14 42 44 72 74 84 86	-601895844300
SPT(16)	1295672924236697161	0 18 30 156 178 220 238 280 438 480 498 540 562 688 700 718	-342084002566
SPT(16)	1295673255639313843	0 34 48 70 84 90 106 108 136 138 154 160 174 196 210 244	-10681385884
SPT(16)	1295674083477467233	0 24 28 60 108 154 180 184 234 238 264 310 358 390 394 418	817156767506
SPT(16)	1295675273109568097	0 24 50 62 92 132 140 152 162 174 182 222 252 264 290 314	2006788868370
SPT(16)	1295675317534100513	0 14 80 86 98 138 150 168 176 194 206 246 258 264 330 344	2051213400786
SPT(16)	1295675322223847651	0 56 86 120 128 158 162 182 186 206 210 240 248 282 312 368	2055903147924
STPT(12)	1295675625307368629	0 2 18 20 42 44 78 80 102 104 120 122	2358986668902