Prime p₀= 1295767935635872157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Cruncher Pete
db: batch=77, k=10, 2 82 2 46 2

STPT(10)	1295766923235491657	0 2 30 32 42 44 54 56 84 86	-1012400380500
STPT(10)	1295767057941502829	0 2 42 44 90 92 138 140 180 182	-877694369328
SPT(16)	1295767139817513469	0 12 22 30 42 52 82 100 150 168 198 208 220 228 238 250	-795818358688
STPT(10)	1295767213288316771	0 2 30 32 60 62 90 92 120 122	-722347555386
SPT(13)	1295767446583928831	0 18 60 78 120 126 168 210 216 258 276 318 336	-489051943326
SPT(16)	1295767717277695997	0 54 60 66 152 194 272 290 426 444 522 564 650 656 662 716	-218358176160
STPT(10)	1295768118683750429	0 2 12 14 90 92 168 170 180 182	183047878272
SPT(16)	1295768167769544169	0 4 54 72 82 88 214 262 270 318 444 450 460 478 528 532	232133672012
STPT(10)	1295768330434877951	0 2 36 38 78 80 120 122 156 158	394799005794
SPT(16)	1295768613612364127	0 42 56 92 120 122 164 176 210 222 264 266 294 330 344 386	677976491970
TPT(14)	1295768744907487397	0 2 30 32 42 44 54 56 120 122 180 182 204 206	809271615240