Prime p₀= 2811642069806977007 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2811639935759803913	0 14 36 108 120 140 146 186 188 228 234 254 266 338 360 374	-2134047173094
SPT(16)	2811640210224039191	0 20 60 62 90 128 156 170 228 242 270 308 336 338 378 398	-1859582937816
SPT(16)	2811640315574219009	0 12 14 74 138 150 182 200 222 240 272 284 348 408 410 422	-1754232757998
STPT(10)	2811640990746659711	0 2 6 8 48 50 90 92 96 98	-1079060317296
SPT(16)	2811641024371211239	0 18 28 30 78 82 88 100 102 114 120 124 172 174 184 202	-1045435765768
SPT(16)	2811641551051309637	0 56 110 126 150 194 216 272 294 350 372 416 440 456 510 566	-518755667370
SPT(16)	2811642087195765167	0 2 14 24 26 36 92 116 120 144 200 210 212 222 234 236	17388788160
SPT(16)	2811642229976226133	0 4 54 156 196 198 210 216 238 244 256 258 298 400 450 454	160169249126
STPT(10)	2811642404500214039	0 2 18 20 30 32 42 44 60 62	334693237032
SPT(16)	2811642544686757501	0 10 52 66 76 108 136 156 172 192 220 252 262 276 318 328	474879780494
TPT(14)	2811642577350561179	0 2 78 80 162 164 222 224 288 290 348 350 408 410	507543584172