Prime p₀= 2356279775194589681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Joerg paleface Burkel
db: batch=81, k=10, 2 64 2 40 2

SPT(16)	2356278355779589139	0 8 12 30 42 78 84 110 192 218 224 260 272 290 294 302	-1419415000542
TPT(14)	2356278501100489727	0 2 102 104 144 146 180 182 420 422 480 482 522 524	-1274094099954
SPT(16)	2356278514302650953	0 36 70 124 136 138 148 166 168 186 196 198 210 264 298 334	-1260891938728
STPT(10)	2356279151700094739	0 2 18 20 30 32 42 44 60 62	-623494494942
SPT(16)	2356279424707927319	0 80 98 102 150 152 198 252 308 362 408 410 458 462 480 560	-350486662362
TPT(14)	2356279469436954041	0 2 30 32 120 122 156 158 168 170 360 362 366 368	-305757635640
SPT(16)	2356279930610334901	0 30 42 72 100 102 132 156 172 196 226 228 256 286 298 328	155415745220
SPT(16)	2356280233106772197	0 32 66 80 86 122 156 170 306 320 354 390 396 410 444 476	457912182516
TPT(14)	2356280463836348111	0 2 96 98 126 128 228 230 306 308 360 362 366 368	688641758430
SPT(16)	2356280471645500171	0 16 28 52 102 126 168 238 270 340 382 406 456 480 492 508	696450910490
STPT(10)	2356280949491711447	0 2 30 32 102 104 174 176 204 206	1174297121766