Prime p₀= 2136251277388088459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Coleslaw
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2136249501860517287	0 2 30 32 60 62 102 104 252 254 264 266 294 296	-1775527571172
STPT(10)	2136249876454146767	0 2 12 14 42 44 72 74 84 86	-1400933941692
SPT(16)	2136250335255605599	0 42 70 90 114 174 184 214 228 258 268 328 352 372 400 442	-942132482860
STPT(10)	2136250549636014731	0 2 78 80 108 110 138 140 216 218	-727752073728
SPT(16)	2136250709455139257	0 4 16 36 60 82 84 106 120 142 144 166 190 210 222 226	-567932949202
STPT(10)	2136251054714956967	0 2 60 62 72 74 84 86 144 146	-222673131492
SPT(16)	2136251337055130089	0 12 28 60 72 82 88 90 112 114 120 130 142 174 190 202	59667041630
SPT(16)	2136251541754122587	0 2 14 20 26 42 54 56 90 92 104 120 126 132 144 146	264366034128
SPT(16)	2136251718623341591	0 10 18 28 30 52 70 96 172 198 216 238 240 250 258 268	441235253132
STPT(10)	2136251862622425599	0 2 18 20 30 32 42 44 60 62	585234337140
SPT(16)	2136252452148015997	0 34 46 64 90 102 124 130 336 342 364 376 402 420 432 466	1174759927538