Prime p₀= 2523279776442777137 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2523277872996105497	0 2 30 32 150 152 192 194 282 284 450 452 522 524	-1903446671640
STPT(10)	2523277924520566307	0 2 42 44 132 134 222 224 264 266	-1851922210830
STPT(10)	2523278018054601161	0 2 6 8 48 50 90 92 96 98	-1758388175976
SPT(16)	2523278172363635551	0 18 22 42 76 88 96 102 106 112 120 132 166 186 190 208	-1604079141586
SPT(16)	2523278768047504759	0 10 12 54 78 120 180 204 238 262 322 364 388 430 432 442	-1008395272378
SPT(16)	2523279391542376981	0 70 78 90 120 132 148 150 208 210 226 238 268 280 288 358	-384900400156
SPT(16)	2523279813134613389	0 20 62 108 120 138 140 150 152 162 164 182 194 240 282 302	36691836252
SPT(16)	2523279833174946493	0 16 18 48 64 138 174 186 268 280 316 390 406 436 438 454	56732169356
STPT(10)	2523280154123531849	0 2 48 50 90 92 132 134 180 182	377680754712
SPT(16)	2523280244770380463	0 168 208 214 216 240 268 310 324 366 394 418 420 426 466 634	468327603326
STPT(10)	2523280602825752657	0 2 24 26 42 44 60 62 84 86	826382975520