Prime p₀= 1280950960753102757 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: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1280948406169223381	0 6 30 32 42 72 102 126 176 200 230 260 270 272 296 302	-2554583879376
SPT(16)	1280948424899917073	0 66 80 108 156 174 188 198 266 276 290 308 356 384 398 464	-2535853185684
SPT(16)	1280948552704463771	0 6 38 90 218 266 282 300 368 386 402 450 578 630 662 668	-2408048638986
STPT(10)	1280949327417587447	0 2 42 44 72 74 102 104 144 146	-1633335515310
STPT(10)	1280949420874791137	0 2 30 32 42 44 54 56 84 86	-1539878311620
SPT(16)	1280950875431481733	0 6 34 76 78 94 160 190 204 234 300 316 318 360 388 394	-85321621024
SPT(16)	1280950979042539633	0 24 136 154 160 180 286 300 310 324 430 450 456 474 586 610	18289436876
SPT(16)	1280951056629266599	0 22 24 52 64 82 90 120 124 154 162 180 192 220 222 244	95876163842
STPT(10)	1280951248162262429	0 2 18 20 30 32 42 44 60 62	287409159672
SPT(16)	1280951407643152499	0 2 8 20 42 78 104 132 170 198 224 260 282 294 300 302	446890049742
SPT(16)	1280951654580709121	0 6 72 126 152 156 176 260 378 462 482 486 512 566 632 638	693827606364