Prime p₀= 2333430343396645457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2333428525254735707	0 2 30 32 42 44 54 56 84 86	-1818141909750
SPT(16)	2333429173394354611	0 28 76 120 136 142 160 198 280 318 336 342 358 402 450 478	-1170002290846
TPT(14)	2333429310062689841	0 2 78 80 120 122 168 170 186 188 210 212 228 230	-1033333955616
SPT(16)	2333430086667934567	0 10 34 66 82 166 180 190 276 286 300 384 400 432 456 466	-256728710890
TPT(14)	2333430103177241567	0 2 30 32 102 104 114 116 270 272 342 344 384 386	-240219403890
SPT(16)	2333430224607089249	0 50 90 104 110 122 132 140 174 182 192 204 210 224 264 314	-118789556208
STPT(10)	2333430740162108087	0 2 54 56 72 74 90 92 144 146	396765462630
SPT(16)	2333431004724065797	0 24 40 46 162 166 180 196 270 286 300 304 420 426 442 466	661327420340
SPT(16)	2333431627434922759	0 10 24 30 82 150 222 294 400 472 544 612 664 670 684 694	1284038277302
STPT(10)	2333432289194752787	0 2 30 32 42 44 54 56 84 86	1945798107330
SPT(16)	2333432294129438063	0 56 108 168 206 258 266 294 350 378 386 438 476 536 588 644	1950732792606