Prime p₀= 1967251416283103771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 46 2 40 2 76 2 28 2 (?)
a_n: 0 2 6 8 30 32 78 80 120 122 198 200 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 4 22 46 40 76 28

SPT(16)	1967249689947909349	0 52 54 64 72 78 108 124 138 154 184 190 198 208 210 262	-1726335194422
STPT(10)	1967250090850438151	0 2 6 8 18 20 30 32 36 38	-1325432665620
STPT(10)	1967250332330452847	0 2 12 14 42 44 72 74 84 86	-1083952650924
SPT(16)	1967250468720123641	0 38 62 66 98 126 186 216 242 272 332 360 392 396 420 458	-947562980130
SPT(16)	1967250681274892693	0 14 50 54 56 66 120 140 150 170 224 234 236 240 276 290	-735008211078
SPT(16)	1967250925386274273	0 18 36 40 96 120 174 214 240 280 334 358 414 418 436 454	-490896829498
SPT(16)	1967251424991953657	0 6 20 44 60 74 86 90 170 174 186 200 216 240 254 260	8708849886
SPT(16)	1967251533143809147	0 4 34 46 76 154 156 186 280 310 312 390 420 432 462 466	116860705376
STPT(10)	1967252049169543349	0 2 48 50 90 92 132 134 180 182	632886439578
SPT(16)	1967252737579315853	0 86 98 116 120 150 176 206 210 240 266 296 300 318 330 416	1321296212082
STPT(10)	1967252915102631587	0 2 54 56 72 74 90 92 144 146	1498819527816