Prime p₀= 2531143180363026077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2531142350785460297	0 2 30 32 42 44 54 56 84 86	-829577565780
STPT(10)	2531142631532583119	0 2 18 20 60 62 102 104 120 122	-548830442958
SPT(16)	2531142647572777279	0 30 48 60 70 72 108 150 262 304 340 342 352 364 382 412	-532790248798
STPT(10)	2531142828980703149	0 2 42 44 60 62 78 80 120 122	-351382322928
STPT(10)	2531142830781980711	0 2 6 8 18 20 30 32 36 38	-349581045366
SPT(16)	2531142941564357479	0 52 100 108 118 132 154 172 300 318 340 354 364 372 420 472	-238798668598
STPT(10)	2531143502237054951	0 2 36 38 78 80 120 122 156 158	321874028874
TPT(16)	2531143664188528847	0 2 12 14 84 86 132 134 162 164 300 302 360 362 402 404	483825502770
SPT(16)	2531143994972623207	0 4 46 52 60 112 150 156 190 196 234 286 294 300 342 346	814609597130
SPT(16)	2531144309296204871	0 68 78 126 132 146 192 198 230 236 282 296 302 350 360 428	1128933178794
STPT(10)	2531144552640981647	0 2 30 32 42 44 54 56 84 86	1372277955570