Prime p₀= 2531286080798172167 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)	2531284838121232789	0 88 112 120 150 192 208 220 282 294 310 352 382 390 414 502	-1242676939378
STPT(10)	2531284901112953771	0 2 36 38 78 80 120 122 156 158	-1179685218396
TPT(14)	2531285517427786421	0 2 30 32 66 68 78 80 96 98 120 122 168 170	-563370385746
SPT(16)	2531285650703349343	0 40 46 48 118 136 150 168 226 244 258 276 346 348 354 394	-430094822824
STPT(10)	2531285731702883327	0 2 12 14 42 44 72 74 84 86	-349095288840
SPT(16)	2531285854003816717	0 12 22 34 100 126 132 142 174 184 190 216 282 294 304 316	-226794355450
SPT(16)	2531286109549916837	0 20 54 104 110 114 126 140 156 170 182 186 192 242 276 296	28751744670
SPT(16)	2531286502835253599	0 2 18 24 44 60 72 102 230 260 272 288 308 314 330 332	422037081432
SPT(18)	2531286683525254199	0 12 42 48 84 132 138 180 194 228 242 284 290 338 374 380 410 422	602727082032
SPT(16)	2531286982705643359	0 30 82 114 130 148 162 168 184 190 204 222 238 270 322 352	901907471192
SPT(16)	2531287685812313069	0 48 90 108 152 162 200 204 248 252 290 300 344 362 404 452	1605014140902