Prime p₀= 1319911444472412689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Megacruncher
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1319909874790051739	0 32 42 60 68 104 164 192 260 288 348 384 392 410 420 452	-1569682360950
STPT(10)	1319909925422288111	0 2 6 8 18 20 30 32 36 38	-1519050124578
SPT(16)	1319910010395135031	0 28 36 42 70 78 88 112 186 210 220 228 256 262 270 298	-1434077277658
STPT(10)	1319910245293703771	0 2 36 38 138 140 240 242 276 278	-1199178708918
SPT(16)	1319910856707728473	0 18 28 40 48 70 88 90 94 96 114 136 144 156 166 184	-587764684216
SPT(16)	1319911302159083419	0 18 22 42 48 60 78 112 120 154 172 184 190 210 214 232	-142313329270
SPT(16)	1319911608708892981	0 42 52 112 118 178 220 262 288 330 372 432 438 498 508 550	164236480292
STPT(10)	1319911796850129809	0 2 18 20 30 32 42 44 60 62	352377717120
STPT(10)	1319911877436545087	0 2 60 62 102 104 144 146 204 206	432964132398
SPT(16)	1319912077802168107	0 22 70 102 132 136 186 210 256 280 330 334 364 396 444 466	633329755418
STPT(10)	1319912308382082599	0 2 30 32 60 62 90 92 120 122	863909669910