Prime p₀= 2507388185310799337 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: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2507386285485349189	0 12 22 28 78 108 132 150 190 208 232 262 312 318 328 340	-1899825450148
STPT(10)	2507386652967588941	0 2 6 8 48 50 90 92 96 98	-1532343210396
SPT(20)	2507386854911557741	0 28 36 58 72 82 136 198 262 282 286 306 370 432 486 496 510 532 540 568	-1330399241596
TPT(14)	2507386947426585839	0 2 138 140 168 170 192 194 198 200 270 272 312 314	-1237884213498
SPT(16)	2507387252282918527	0 22 34 36 64 100 112 114 172 174 186 222 250 252 264 286	-933027880810
SPT(16)	2507387566958870311	0 18 66 102 106 108 130 148 240 258 280 282 286 322 370 388	-618351929026
SPT(16)	2507388382311451519	0 24 34 48 60 82 88 108 154 174 180 202 214 228 238 262	197000652182
STPT(10)	2507388857276423927	0 2 42 44 72 74 102 104 144 146	671965624590
STPT(10)	2507389924957765817	0 2 54 56 72 74 90 92 144 146	1739646966480
SPT(16)	2507389946508619849	0 10 42 88 108 130 144 180 202 238 252 274 294 340 372 382	1761197820512
STPT(10)	2507390557013963219	0 2 18 20 30 32 42 44 60 62	2371703163882