Prime p₀= 2810504375441117357 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-FC] hl
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2810502498918594341	0 2 168 170 180 182 210 212 240 242 318 320 330 332	-1876522523016
SPT(16)	2810502738713089279	0 10 28 40 72 124 138 144 178 184 198 250 282 294 312 322	-1636728028078
SPT(16)	2810502758715003623	0 6 8 18 24 50 84 90 194 200 234 260 266 276 278 284	-1616726113734
SPT(16)	2810502989105384731	0 12 28 70 78 112 120 126 142 148 156 190 198 240 256 268	-1386335732626
STPT(10)	2810503285363825691	0 2 6 8 48 50 90 92 96 98	-1090077291666
TPT(14)	2810503952328850187	0 2 42 44 60 62 102 104 114 116 144 146 180 182	-423112267170
SPT(16)	2810504425950828521	0 32 48 50 90 92 110 116 162 168 186 188 228 230 246 278	50509711164
TPT(14)	2810504616158542727	0 2 12 14 30 32 72 74 90 92 114 116 132 134	240717425370
SPT(16)	2810504874539367931	0 28 46 78 102 160 168 210 238 280 288 346 370 402 420 448	499098250574
SPT(18)	2810505351819018901	0 12 36 102 106 112 166 172 222 286 336 342 396 402 406 472 496 508	976377901544
SPT(16)	2810505589238361493	0 30 40 48 84 90 108 168 190 250 268 274 310 318 328 358	1213797244136