Prime p₀= 1296034453167299147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1296033102438727349	0 2 30 32 102 104 180 182 210 212 228 230 300 302	-1350728571798
SPT(16)	1296033328189991159	0 20 30 54 168 200 230 264 314 348 378 410 524 548 558 578	-1124977307988
STPT(10)	1296033432999997577	0 2 12 14 42 44 72 74 84 86	-1020167301570
SPT(20)	1296033465619229179	0 72 82 84 94 112 148 150 168 208 234 274 292 294 330 348 358 360 370 442	-987548069968
STPT(12)	1296033748622409869	0 2 18 20 42 44 48 50 72 74 90 92	-704544889278
STPT(10)	1296034351304648531	0 2 36 38 78 80 120 122 156 158	-101862650616
SPT(16)	1296034782188836861	0 30 96 118 120 166 190 246 322 378 402 448 450 472 538 568	329021537714
STPT(10)	1296035057364076187	0 2 12 14 72 74 132 134 144 146	604196777040
SPT(16)	1296035194427904317	0 24 50 66 80 90 92 114 182 204 206 216 230 246 272 296	741260605170
SPT(16)	1296035293563971143	0 24 30 94 156 204 208 250 294 336 340 388 450 514 520 544	840396671996
SPT(16)	1296035352119864947	0 12 24 54 64 66 70 82 204 216 220 222 232 262 274 286	898952565800