Prime p₀= 2562559264427726357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2562557377746531577	0 42 46 84 90 130 136 166 180 210 216 256 262 300 304 346	-1886681194780
STPT(10)	2562557872428923387	0 2 12 14 72 74 132 134 144 146	-1391998802970
STPT(12)	2562558109661323511	0 2 6 8 78 80 138 140 210 212 216 218	-1154766402846
SPT(16)	2562558304588572853	0 10 54 66 84 94 120 124 180 184 210 220 238 250 294 304	-959839153504
SPT(16)	2562558457980509999	0 2 20 38 48 72 92 170 252 330 350 374 384 402 420 422	-806447216358
SPT(16)	2562559088353562321	0 6 56 66 80 92 122 168 170 216 246 258 272 282 332 338	-176074164036
SPT(16)	2562559524469096513	0 4 34 40 70 88 96 100 114 118 126 144 174 180 210 214	260041370156
SPT(16)	2562559536034036829	0 2 30 38 44 78 80 98 114 132 134 168 174 182 210 212	271606310472
SPT(16)	2562559553863793563	0 4 24 28 30 76 144 150 154 160 228 274 276 280 300 304	289436067206
SPT(16)	2562559608594519007	0 22 40 64 66 82 102 112 144 154 174 190 192 216 234 256	344166792650
SPT(16)	2562560059163420311	0 52 78 88 100 150 156 186 202 232 238 288 300 310 336 388	794735693954