Prime p₀= 2049858842208786767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: fix
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2049857485529263273	0 30 40 76 96 108 184 198 286 300 376 388 408 444 454 484	-1356679523494
STPT(10)	2049857526632970401	0 2 6 8 48 50 90 92 96 98	-1315575816366
TPT(14)	2049858058530362357	0 2 12 14 90 92 180 182 222 224 264 266 294 296	-783678424410
SPT(16)	2049858166780348003	0 10 30 34 48 94 114 190 198 274 294 340 354 358 378 388	-675428438764
STPT(10)	2049858360746422349	0 2 12 14 30 32 48 50 60 62	-481462364418
SPT(16)	2049858498539328341	0 8 30 72 78 140 210 212 228 230 300 362 368 410 432 440	-343669458426
STPT(10)	2049858942675660197	0 2 42 44 72 74 102 104 144 146	100466873430
SPT(16)	2049858976591638001	0 52 96 118 136 160 196 238 240 282 318 342 360 382 426 478	134382851234
STPT(10)	2049859136005981367	0 2 12 14 42 44 72 74 84 86	293797194600
STPT(10)	2049859149354315317	0 2 42 44 72 74 102 104 144 146	307145528550
SPT(16)	2049859184683537729	0 34 52 108 112 118 150 154 168 172 204 210 214 270 288 322	342474750962