Prime p₀= 957097886445791897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: HenkM
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	957096930973211417	0 30 54 56 174 186 296 320 330 354 464 476 594 596 620 650	-955472580480
SPT(16)	957097347710783077	0 40 96 106 144 166 220 226 234 240 294 316 354 364 420 460	-538735008820
SPT(16)	957097406544443441	0 78 102 140 162 170 182 186 212 216 228 236 258 296 320 398	-479901348456
SPT(16)	957097522714705147	0 42 52 66 102 112 130 136 150 156 174 184 220 234 244 286	-363731086750
STPT(10)	957097721135592731	0 2 36 38 78 80 120 122 156 158	-165310199166
STPT(10)	957097761483461699	0 2 48 50 90 92 132 134 180 182	-124962330198
SPT(16)	957098608551870341	0 56 72 98 102 116 126 146 252 272 282 296 300 326 342 398	722106078444
STPT(10)	957098656567042901	0 2 6 8 18 20 30 32 36 38	770121251004
STPT(10)	957098692528581917	0 2 12 14 42 44 72 74 84 86	806082790020
SPT(16)	957098812972737823	0 34 64 120 124 148 180 196 258 274 306 330 334 390 420 454	926526945926
SPT(16)	957099260825842369	0 4 28 30 132 144 148 204 208 264 268 280 382 384 408 412	1374380050472