Prime p₀= 865718486852126291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 88 2 34 2 58 2 22 2 (?)
a_n: 0 2 126 128 180 182 270 272 306 308 366 368 390 392
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: 392
Found by: RFGuy_KCCO
db: batch=73, k=14, 124 52 88 34 58 22

TPT(14)	865717879865899301	0 2 48 50 90 92 126 128 150 152 168 170 246 248	-606986226990
SPT(16)	865717968736039063	0 46 60 78 88 106 108 130 144 166 168 186 196 214 228 274	-518116087228
SPT(16)	865718079493125841	0 12 16 22 52 82 138 178 180 220 276 306 336 342 346 358	-407359000450
STPT(10)	865718094877218101	0 2 36 38 78 80 120 122 156 158	-391974908190
SPT(16)	865718130488376701	0 18 68 86 98 132 210 240 338 368 446 480 492 510 560 578	-356363749590
STPT(10)	865718381502565397	0 2 42 44 72 74 102 104 144 146	-105349560894
SPT(16)	865718890691918719	0 4 18 42 54 78 82 88 144 150 154 178 190 214 228 232	403839792428
STPT(10)	865719028697291357	0 2 30 32 42 44 54 56 84 86	541845165066
STPT(10)	865719288342186527	0 2 12 14 42 44 72 74 84 86	801490060236
SPT(16)	865719479456509877	0 14 24 44 92 114 162 170 246 254 302 324 372 392 402 416	992604383586
SPT(16)	865719543417608107	0 22 42 60 76 100 114 120 166 172 186 210 226 244 264 286	1056565481816