Prime p₀= 2940124643726584397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 40 2 106 2 40 2 (?)
a_n: 0 2 24 26 30 32 72 74 114 116 222 224 264 266
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: 266
Found by: Landjunge
db: batch=82, k=14, 22 4 40 40 106 40

STPT(10)	2940122541770066711	0 2 36 38 78 80 120 122 156 158	-2101956517686
SPT(16)	2940122721676935791	0 38 78 96 126 146 156 176 252 272 282 302 332 350 390 428	-1922049648606
SPT(16)	2940122789944205521	0 60 76 78 102 108 120 130 168 178 190 196 220 222 238 298	-1853782378876
SPT(16)	2940123186369075053	0 18 20 98 114 128 138 144 350 356 366 380 396 474 476 494	-1457357509344
SPT(16)	2940124357268405129	0 30 78 92 120 140 182 240 242 300 342 362 390 404 452 482	-286458179268
STPT(10)	2940124479659337959	0 2 18 20 30 32 42 44 60 62	-164067246438
STPT(10)	2940125157271618739	0 2 90 92 150 152 210 212 300 302	513545034342
STPT(10)	2940125290786100237	0 2 60 62 72 74 84 86 144 146	647059515840
SPT(16)	2940126179478119759	0 14 30 44 102 128 140 144 218 222 234 260 318 332 348 362	1535751535362
SPT(16)	2940126330281226071	0 6 18 32 56 108 122 138 200 216 230 282 306 320 332 338	1686554641674
STPT(10)	2940126506413328777	0 2 30 32 42 44 54 56 84 86	1862686744380