Prime p₀= 1296941752554194207 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

STPT(10)	1296940559124665051	0 2 36 38 78 80 120 122 156 158	-1193429529156
TPT(14)	1296940982509588151	0 2 36 38 180 182 240 242 246 248 288 290 306 308	-770044606056
SPT(16)	1296941098189070813	0 6 50 66 98 150 164 168 176 180 194 246 278 294 338 344	-654365123394
STPT(10)	1296941272267413401	0 2 156 158 168 170 180 182 336 338	-480286780806
STPT(10)	1296941358960677387	0 2 42 44 72 74 102 104 144 146	-393593516820
STPT(10)	1296941493767636747	0 2 30 32 60 62 90 92 120 122	-258786557460
SPT(16)	1296942199243457827	0 34 40 42 90 100 124 126 130 132 156 166 214 216 222 256	446689263620
STPT(10)	1296942767960345711	0 2 6 8 18 20 30 32 36 38	1015406151504
SPT(16)	1296943310493396793	0 34 36 40 64 78 100 106 168 174 196 210 234 238 240 274	1557939202586
SPT(16)	1296943441131623459	0 48 104 122 152 158 174 198 224 248 264 270 300 318 374 422	1688577429252
SPT(16)	1296943712412769207	0 76 96 120 174 180 190 222 274 306 316 322 376 400 420 496	1959858575000