Prime p₀= 2396196462545613137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 28 2 28 2 4 2 28 2 (?)
a_n: 0 2 60 62 114 116 144 146 174 176 180 182 210 212
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: 212
Found by: [AF] Kalianthys
db: batch=81, k=14, 58 52 28 28 4 28

STPT(10)	2396193862706336489	0 2 18 20 30 32 42 44 60 62	-2599839276648
SPT(16)	2396193946006799791	0 6 10 28 30 72 112 142 186 216 256 298 300 318 322 328	-2516538813346
SPT(16)	2396194103160970421	0 8 12 18 60 92 128 156 182 210 246 278 320 326 330 338	-2359384642716
SPT(16)	2396194532752458143	0 14 60 96 116 144 164 170 264 270 290 318 338 374 420 434	-1929793154994
STPT(10)	2396195022416874311	0 2 6 8 48 50 90 92 96 98	-1440128738826
SPT(16)	2396195056057733069	0 24 98 102 128 168 174 200 282 308 314 354 380 384 458 482	-1406487880068
SPT(16)	2396196562423371427	0 12 42 66 100 126 136 142 180 186 196 222 256 280 310 322	99877758290
SPT(16)	2396196756728482657	0 36 54 126 174 204 210 222 244 256 262 292 340 412 430 466	294182869520
STPT(10)	2396197003448502341	0 2 6 8 48 50 90 92 96 98	540902889204
STPT(10)	2396197123049713601	0 2 36 38 78 80 120 122 156 158	660504100464
SPT(16)	2396197168898562571	0 12 16 72 136 168 202 280 288 366 400 432 496 552 556 568	706352949434