Prime p₀= 2861141655867561947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 76 2 52 2 46 2 28 2 (?)
a_n: 0 2 60 62 102 104 180 182 234 236 282 284 312 314
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 58 40 76 52 46 28

SPT(16)	2861140847217440867	0 50 60 150 162 192 204 212 282 290 302 332 344 434 444 494	-808650121080
SPT(16)	2861140970406290401	0 12 22 30 42 70 88 100 228 240 258 286 298 306 316 328	-685461271546
STPT(10)	2861140993788968699	0 2 48 50 90 92 132 134 180 182	-662078593248
SPT(18)	2861141085487140289	0 12 22 40 70 72 84 144 168 184 208 268 280 282 312 330 340 352	-570380421658
SPT(16)	2861141163954505151	0 18 42 48 66 90 152 240 308 396 458 482 500 506 530 548	-491913056796
SPT(16)	2861141257809172747	0 10 52 70 100 106 136 142 210 216 246 252 282 300 342 352	-398058389200
STPT(10)	2861141720966729927	0 2 24 26 42 44 60 62 84 86	65099167980
STPT(10)	2861141966051679521	0 2 30 32 78 80 126 128 156 158	310184117574
SPT(16)	2861142522856746257	0 12 20 42 54 86 104 110 126 132 150 182 194 216 224 236	866989184310
SPT(16)	2861142592730593079	0 38 42 44 54 84 132 152 210 230 278 308 318 320 324 362	936863031132
TPT(14)	2861142598224511751	0 2 78 80 138 140 210 212 216 218 300 302 348 350	942356949804