Prime p₀= 2196112443492193271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 28 2 46 2 40 2 28 2 (?)
a_n: 0 2 90 92 138 140 168 170 216 218 258 260 288 290
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: 290
Found by: Alnitak2019
db: batch=81, k=14, 88 46 28 46 40 28

TPT(14)	2196111087377957147	0 2 54 56 72 74 210 212 222 224 264 266 312 314	-1356114236124
SPT(16)	2196111406792185301	0 18 28 46 72 90 108 160 168 220 238 256 282 300 310 328	-1036700007970
SPT(16)	2196111828454773919	0 34 60 100 114 132 162 172 270 280 310 328 342 382 408 442	-615037419352
STPT(10)	2196111842600243609	0 2 18 20 30 32 42 44 60 62	-600891949662
STPT(10)	2196111927081760937	0 2 12 14 42 44 72 74 84 86	-516410432334
SPT(16)	2196112107371474717	0 32 62 80 90 122 144 234 260 350 372 404 414 432 462 494	-336120718554
SPT(16)	2196112548336011341	0 46 66 136 190 196 246 252 256 262 312 318 372 442 462 508	104843818070
SPT(16)	2196112696768565041	0 36 70 82 90 112 126 130 168 172 186 208 216 228 262 298	253276371770
TPT(14)	2196112889126119259	0 2 18 20 30 32 90 92 132 134 270 272 372 374	445633925988
TPT(14)	2196112901176489481	0 2 6 8 30 32 96 98 156 158 168 170 198 200	457684296210
STPT(10)	2196112937941590761	0 2 30 32 60 62 90 92 120 122	494449397490