Prime p₀= 2159252590845669461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: rlacr
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2159249391277430939	0 54 92 104 128 134 174 218 264 308 348 354 378 390 428 482	-3199568238522
STPT(12)	2159249464490265401	0 2 36 38 78 80 168 170 210 212 246 248	-3126355404060
SPT(16)	2159249990882099683	0 46 60 66 84 96 100 120 130 150 154 166 184 190 204 250	-2599963569778
STPT(10)	2159250153993086897	0 2 30 32 42 44 54 56 84 86	-2436852582564
SPT(16)	2159251369415610937	0 36 52 120 162 190 202 232 264 294 306 334 376 444 460 496	-1221430058524
SPT(16)	2159252434090293149	0 2 20 62 80 152 240 264 368 392 480 552 570 612 630 632	-156755376312
SPT(16)	2159252652045539129	0 8 14 48 78 84 92 140 252 300 308 314 344 378 384 392	61199869668
TPT(14)	2159252663131553441	0 2 48 50 90 92 138 140 168 170 210 212 270 272	72285883980
SPT(16)	2159252844515905459	0 40 54 58 60 102 132 172 180 220 250 292 294 298 312 352	253670235998
STPT(10)	2159252991526506431	0 2 6 8 48 50 90 92 96 98	400680836970
STPT(10)	2159253069060784481	0 2 36 38 78 80 120 122 156 158	478215115020