Prime p₀= 867731543200469117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 58 2 88 2 28 2 58 2 (?)
a_n: 0 2 84 86 102 104 162 164 252 254 282 284 342 344
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: 344
Found by: RFGuy_KCCO
db: batch=73, k=14, 82 16 58 88 28 58

STPT(10)	867730565804189951	0 2 78 80 108 110 138 140 216 218	-977396279166
STPT(10)	867730801774574999	0 2 48 50 60 62 72 74 120 122	-741425894118
SPT(13)	867730906131866141	0 36 102 120 126 150 156 162 186 192 210 276 312	-637068602976
STPT(10)	867731047560507677	0 2 30 32 42 44 54 56 84 86	-495639961440
SPT(16)	867731246013283153	0 46 54 118 120 126 154 160 384 390 418 424 426 490 498 544	-297187185964
SPT(16)	867731500197793243	0 28 70 84 90 106 130 154 180 204 228 244 250 264 306 334	-43002675874
SPT(16)	867731833117207579	0 22 42 52 78 108 192 222 250 280 364 394 420 430 450 472	289916738462
STPT(10)	867731849811333839	0 2 12 14 90 92 168 170 180 182	306610864722
STPT(10)	867731909609298779	0 2 42 44 90 92 138 140 180 182	366408829662
STPT(10)	867732135898271417	0 2 54 56 72 74 90 92 144 146	592697802300
SPT(16)	867732161416604299	0 18 22 60 82 88 132 138 154 160 204 210 232 270 274 292	618216135182