Prime p₀= 2512692972992865977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Hightower
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2512691564812779061	0 48 96 106 132 162 228 238 270 280 346 376 402 412 460 508	-1408180086916
SPT(16)	2512691747818830481	0 30 40 46 70 96 112 126 142 156 172 198 222 228 238 268	-1225174035496
SPT(16)	2512691954897141957	0 24 30 60 84 104 114 140 216 242 252 272 296 326 332 356	-1018095724020
STPT(10)	2512692169309499699	0 2 18 20 30 32 42 44 60 62	-803683366278
STPT(10)	2512692719429753009	0 2 42 44 120 122 198 200 240 242	-253563112968
SPT(16)	2512692828755115373	0 64 70 76 78 118 124 174 190 240 246 286 288 294 300 364	-144237750604
STPT(10)	2512693078279003589	0 2 12 14 90 92 168 170 180 182	105286137612
STPT(10)	2512693093381818131	0 2 36 38 78 80 120 122 156 158	120388952154
SPT(16)	2512693356511811927	0 12 32 54 104 132 200 252 254 306 374 402 452 474 494 506	383518945950
TPT(14)	2512693642949988521	0 2 60 62 90 92 156 158 408 410 480 482 498 500	669957122544
SPT(16)	2512694787588023993	0 26 84 96 104 164 216 276 278 338 390 450 458 470 528 554	1814595158016