Prime p₀= 2315857088823640289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2315856370899298211	0 90 102 140 216 248 260 270 308 318 330 362 438 476 488 578	-717924342078
STPT(10)	2315856374683902101	0 2 6 8 18 20 30 32 36 38	-714139738188
STPT(10)	2315856520599749339	0 2 42 44 60 62 78 80 120 122	-568223890950
STPT(10)	2315856682610011139	0 2 18 20 30 32 42 44 60 62	-406213629150
SPT(16)	2315856753372260821	0 28 72 120 130 142 150 220 378 448 456 468 478 526 570 598	-335451379468
SPT(16)	2315856947610339877	0 22 60 76 112 126 132 142 174 184 190 204 240 256 294 316	-141213300412
TPT(14)	2315857375445856689	0 2 30 32 108 110 150 152 252 254 360 362 402 404	286622216400
STPT(10)	2315857716995289947	0 2 30 32 42 44 54 56 84 86	628171649658
SPT(16)	2315858376104404091	0 50 60 98 102 108 122 132 158 168 182 188 192 230 240 290	1287280763802
STPT(10)	2315858467407649037	0 2 30 32 42 44 54 56 84 86	1378584008748
SPT(16)	2315858486782439881	0 28 52 58 60 66 168 190 318 340 442 448 450 456 480 508	1397958799592