Prime p₀= 2272388667917479919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 28 2 148 2 4 2 40 2 (?)
a_n: 0 2 78 80 162 164 192 194 342 344 348 350 390 392
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: JayPi
db: batch=81, k=14, 76 82 28 148 4 40

TPT(14)	2272386283210733999	0 2 12 14 72 74 78 80 108 110 180 182 192 194	-2384706745920
STPT(10)	2272386294987742937	0 2 42 44 132 134 222 224 264 266	-2372929736982
SPT(16)	2272387511903345623	0 40 48 64 66 94 114 124 150 160 180 208 210 226 234 274	-1156014134296
SPT(16)	2272388158351046399	0 14 20 32 174 198 212 224 228 240 254 278 420 432 438 452	-509566433520
SPT(16)	2272388263808112511	0 22 42 46 48 78 90 132 166 208 220 250 252 256 276 298	-404109367408
STPT(10)	2272388519298676349	0 2 18 20 30 32 42 44 60 62	-148618803570
SPT(16)	2272389116758905401	0 20 32 38 78 90 92 98 102 108 110 122 162 168 180 200	448841425482
TPT(14)	2272389167649753767	0 2 24 26 114 116 192 194 240 242 264 266 312 314	499732273848
SPT(16)	2272389328245575171	0 26 50 72 122 128 168 198 230 260 300 306 356 378 402 428	660328095252
STPT(10)	2272389590587206017	0 2 30 32 72 74 114 116 144 146	922669726098
SPT(16)	2272389778826516101	0 22 48 96 100 112 142 148 180 186 216 228 232 280 306 328	1110909036182