Prime p₀= 2090391161434694117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2090389668667348577	0 2 42 44 72 74 102 104 174 176 270 272 300 302	-1492767345540
SPT(16)	2090389700138368561	0 6 72 102 160 216 256 312 340 396 436 492 550 580 646 652	-1461296325556
STPT(10)	2090390010620256641	0 2 6 8 18 20 30 32 36 38	-1150814437476
TPT(14)	2090390285038341497	0 2 30 32 54 56 120 122 162 164 204 206 264 266	-876396352620
SPT(16)	2090390380132484207	0 26 84 92 116 126 140 194 252 306 320 330 354 362 420 446	-781302209910
SPT(16)	2090390406625498409	0 12 42 90 98 152 158 180 230 252 258 312 320 368 398 410	-754809195708
SPT(16)	2090391361931039693	0 14 30 44 78 114 128 170 234 276 290 326 360 374 390 404	200496345576
STPT(10)	2090391453813347687	0 2 30 32 60 62 90 92 120 122	292378653570
SPT(16)	2090391703249925281	0 6 40 42 78 82 120 142 216 238 276 280 316 318 352 358	541815231164
SPT(16)	2090391743499894199	0 18 88 120 150 178 190 204 238 252 264 292 322 354 424 442	582065200082
SPT(16)	2090392555275880183	0 4 16 66 96 126 154 196 198 240 268 298 328 378 390 394	1393841186066