Prime p₀= 1089832236124863107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: ginga
db: batch=76, k=10, 2 28 2 28 2

SPT(18)	1089831377822938021	0 6 76 78 118 120 162 172 196 252 276 286 328 330 370 372 442 448	-858301925086
SPT(16)	1089831618462634867	0 22 24 94 106 114 144 172 294 322 352 360 372 442 444 466	-617662228240
SPT(16)	1089831637101800323	0 16 24 76 90 96 196 220 240 264 364 370 384 436 444 460	-599023062784
STPT(12)	1089831760964815787	0 2 42 44 90 92 114 116 162 164 204 206	-475160047320
SPT(16)	1089831770110956251	0 2 18 30 56 68 140 150 158 168 240 252 278 290 306 308	-466013906856
TPT(14)	1089832231330858061	0 2 60 62 96 98 156 158 210 212 228 230 270 272	-4794005046
STPT(10)	1089832836599942087	0 2 42 44 72 74 102 104 144 146	600475078980
SPT(16)	1089832995519909779	0 48 98 144 152 164 182 222 230 270 288 300 308 354 404 452	759395046672
STPT(10)	1089833077985868917	0 2 30 32 42 44 54 56 84 86	841861005810
SPT(16)	1089833202047001301	0 36 60 82 102 106 130 180 262 312 336 340 360 382 406 442	965922138194
SPT(16)	1089833896020541907	0 26 50 110 132 156 222 266 300 344 410 434 456 516 540 566	1659895678800