Prime p₀= 1300627783688411279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1300627124782127801	0 18 38 86 98 116 128 242 246 360 372 390 402 450 470 488	-658906283478
SPT(16)	1300627235826390937	0 10 36 82 126 166 192 210 286 304 330 370 414 460 486 496	-547862020342
SPT(16)	1300627277533525133	0 14 24 26 48 54 84 164 180 260 290 296 318 320 330 344	-506154886146
STPT(10)	1300627328456149751	0 2 36 38 78 80 120 122 156 158	-455232261528
SPT(16)	1300627569434499697	0 40 52 54 72 112 144 172 222 250 282 322 340 342 354 394	-214253911582
SPT(16)	1300627746766044211	0 12 76 82 102 106 126 132 286 292 312 316 336 342 406 418	-36922367068
SPT(16)	1300627833117606121	0 16 36 58 78 90 160 168 220 228 298 310 330 352 372 388	49429194842
SPT(16)	1300628047000488187	0 10 34 46 204 216 232 276 280 324 340 352 510 522 546 556	263312076908
SPT(16)	1300628170339230107	0 6 14 30 36 60 62 86 90 114 116 140 146 162 170 176	386650818828
SPT(16)	1300628427377693383	0 34 54 90 168 184 186 198 256 268 270 286 364 400 420 454	643689282104
TPT(14)	1300628582073706811	0 2 6 8 156 158 228 230 330 332 336 338 396 398	798385295532