Prime p₀= 1295766923235491657 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1295765477984884559	0 2 42 44 48 50 72 74 78 80 90 92 120 122	-1445250607098
SPT(16)	1295765917396970449	0 52 124 132 148 174 180 190 222 232 238 264 280 288 360 412	-1005838521208
SPT(16)	1295766064740515527	0 34 54 64 70 76 96 124 162 190 210 216 222 232 252 286	-858494976130
STPT(10)	1295766501635987741	0 2 6 8 48 50 90 92 96 98	-421599503916
STPT(10)	1295766563088545069	0 2 18 20 30 32 42 44 60 62	-360146946588
SPT(16)	1295766823402329119	0 14 32 62 98 102 128 164 168 204 230 234 270 300 318 332	-99833162538
STPT(10)	1295767057941502829	0 2 42 44 90 92 138 140 180 182	134706011172
SPT(16)	1295767139817513469	0 12 22 30 42 52 82 100 150 168 198 208 220 228 238 250	216582021812
STPT(10)	1295767213288316771	0 2 30 32 60 62 90 92 120 122	290052825114
SPT(13)	1295767446583928831	0 18 60 78 120 126 168 210 216 258 276 318 336	523348437174
SPT(16)	1295767717277695997	0 54 60 66 152 194 272 290 426 444 522 564 650 656 662 716	794042204340