Prime p₀= 2136629386186737677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Coleslaw
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2136627829629664051	0 76 108 126 136 142 160 186 202 228 246 252 262 280 312 388	-1556557073626
SPT(16)	2136628279837024217	0 24 30 80 114 150 194 252 404 462 506 542 576 626 632 656	-1106349713460
TPT(14)	2136628507379219237	0 2 60 62 72 74 102 104 114 116 222 224 234 236	-878807518440
STPT(10)	2136628562050082921	0 2 6 8 18 20 30 32 36 38	-824136654756
SPT(16)	2136628834689294857	0 32 60 62 120 126 140 146 156 162 176 182 240 242 270 302	-551497442820
SPT(16)	2136628900539564443	0 48 50 68 78 90 104 138 146 180 194 206 216 234 236 284	-485647173234
STPT(10)	2136629662124107487	0 2 30 32 42 44 54 56 84 86	275937369810
SPT(16)	2136630073117518829	0 12 34 48 58 60 148 154 258 264 352 354 364 378 400 412	686930781152
SPT(16)	2136630127111760977	0 12 22 64 72 142 156 202 294 340 354 424 432 474 484 496	740925023300
SPT(16)	2136630171756965531	0 20 26 48 62 72 98 108 170 180 206 216 230 252 258 278	785570227854
SPT(16)	2136630376502107679	0 8 12 30 42 78 90 120 152 182 194 230 242 260 264 272	990315370002