Prime p₀= 2375276669271726107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2375275702481205521	0 2 6 8 48 50 90 92 96 98	-966790520586
SPT(18)	2375275891659928267	0 6 30 40 70 114 124 154 156 220 222 252 262 306 336 346 370 376	-777611797840
SPT(16)	2375275937478511759	0 52 60 72 84 102 172 184 228 240 310 328 340 352 360 412	-731793214348
SPT(16)	2375276407826286049	0 4 12 60 130 148 204 220 222 238 294 312 382 430 438 442	-261445440058
SPT(16)	2375276548549215919	0 10 24 48 72 84 90 114 178 202 208 220 244 268 282 292	-120722510188
SPT(16)	2375276647591895329	0 34 58 78 90 100 118 120 142 144 162 172 184 204 228 262	-21679830778
SPT(16)	2375277096486656281	0 22 28 40 118 142 160 210 280 330 348 372 450 462 468 490	427214930174
SPT(16)	2375277133098626473	0 48 54 96 106 118 124 136 138 150 156 168 178 220 226 274	463826900366
STPT(10)	2375277164945384879	0 2 12 14 90 92 168 170 180 182	495673658772
SPT(16)	2375277357399196009	0 70 88 90 130 160 168 174 244 250 258 288 328 330 348 418	688127469902
SPT(16)	2375277450560632781	0 18 38 72 108 120 158 176 192 210 248 260 296 330 350 368	781288906674