Prime p₀= 2136006410570043857 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

SPT(16)	2136004897267812661	0 10 28 30 52 76 82 96 112 126 132 156 178 180 198 208	-1513302231196
STPT(10)	2136004922865458261	0 2 108 110 138 140 168 170 276 278	-1487704585596
SPT(16)	2136005192284437437	0 6 14 32 56 74 90 116 150 176 192 210 234 252 260 266	-1218285606420
SPT(16)	2136005256069119489	0 38 42 54 60 62 98 164 168 234 270 272 278 290 294 332	-1154500924368
SPT(16)	2136005672570531207	0 24 50 80 186 234 260 266 294 300 326 374 480 510 536 560	-737999512650
STPT(10)	2136005960733494819	0 2 12 14 30 32 48 50 60 62	-449836549038
STPT(10)	2136007209910966031	0 2 6 8 48 50 90 92 96 98	799340922174
STPT(10)	2136007590579817781	0 2 30 32 78 80 126 128 156 158	1180009773924
SPT(16)	2136007591390499899	0 10 24 28 34 48 52 64 78 90 94 108 114 118 132 142	1180820456042
STPT(10)	2136007650134092697	0 2 30 32 42 44 54 56 84 86	1239564048840
SPT(16)	2136007834409032579	0 48 78 88 102 118 132 150 172 190 204 220 234 244 274 322	1423838988722