Prime p₀= 1294459477774381097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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 88 2 40 2

STPT(10)	1294458808192543457	0 2 90 92 102 104 114 116 204 206	-669581837640
SPT(16)	1294458919896498563	0 18 56 60 84 96 110 128 186 204 218 230 254 258 296 314	-557877882534
STPT(10)	1294459037262389807	0 2 30 32 42 44 54 56 84 86	-440511991290
STPT(10)	1294459104321889697	0 2 42 44 72 74 102 104 144 146	-373452491400
SPT(16)	1294459120540723279	0 22 60 64 70 90 102 142 162 202 214 234 240 244 282 304	-357233657818
SPT(16)	1294459468671791207	0 80 84 122 126 132 134 140 156 162 164 170 174 212 216 296	-9102589890
SPT(16)	1294459569809704301	0 12 56 78 80 90 132 152 246 266 308 318 320 342 386 398	92035323204
SPT(16)	1294459647911293393	0 10 78 88 126 136 138 160 264 286 288 298 336 346 414 424	170136912296
SPT(16)	1294460646516442987	0 46 64 72 84 106 156 184 192 220 270 292 304 312 330 376	1168742061890
TPT(14)	1294460752858393199	0 2 30 32 72 74 120 122 132 134 198 200 210 212	1275084012102
SPT(16)	1294460812058242819	0 4 30 58 132 144 162 184 228 250 268 280 354 382 408 412	1334283861722