Prime p₀= 2350110990090714671 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: herby44
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2350110064232065043	0 20 30 38 60 74 80 146 168 234 240 254 276 284 294 314	-925858649628
SPT(16)	2350110108340953169	0 22 24 72 102 144 148 162 220 234 238 280 310 358 360 382	-881749761502
SPT(16)	2350110457867412411	0 36 42 78 86 110 120 122 306 308 318 342 350 386 392 428	-532223302260
STPT(10)	2350110480777055781	0 2 36 38 78 80 120 122 156 158	-509313658890
SPT(16)	2350110636868176331	0 42 48 88 130 142 160 210 220 270 288 300 342 382 388 430	-353222538340
SPT(16)	2350110697181436251	0 32 56 90 96 102 116 138 200 222 236 242 248 282 306 338	-292909278420
SPT(16)	2350111215951551527	0 76 114 124 132 150 180 192 244 256 286 304 312 322 360 436	225860836856
SPT(18)	2350111362039534089	0 2 14 72 128 168 194 198 240 302 344 348 374 414 470 528 540 542	371948819418
SPT(16)	2350111737316330441	0 6 28 42 58 70 88 112 156 180 198 210 226 240 262 268	747225615770
STPT(10)	2350112103749884181	0 2 138 140 168 170 198 200 336 338	1113659169510
STPT(10)	2350112342962476611	0 2 30 32 78 80 126 128 156 158	1352871761940