Prime p₀= 2198120514225354557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 88 2 64 2 10 2 88 2 (?)
a_n: 0 2 12 14 54 56 144 146 210 212 222 224 312 314
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: 314
Found by: Penguin
db: batch=81, k=14, 10 40 88 64 10 88

TPT(14)	2198119260309475637	0 2 24 26 30 32 114 116 162 164 210 212 234 236	-1253915878920
SPT(16)	2198119287233530013	0 8 26 84 140 168 194 276 308 390 416 444 500 558 576 584	-1226991824544
SPT(16)	2198119392632609921	0 18 48 56 80 102 122 146 192 216 236 258 282 290 320 338	-1121592744636
SPT(16)	2198119674188676761	0 56 68 102 108 138 150 180 248 278 290 320 326 360 372 428	-840036677796
STPT(10)	2198119958534910209	0 2 48 50 60 62 72 74 120 122	-555690444348
SPT(16)	2198120275845873229	0 70 78 82 102 138 144 204 208 268 274 310 330 334 342 412	-238379481328
STPT(10)	2198121122248440419	0 2 18 20 30 32 42 44 60 62	608023085862
STPT(10)	2198121853527640091	0 2 6 8 18 20 30 32 36 38	1339302285534
SPT(16)	2198122055212161493	0 6 34 60 76 94 100 106 198 204 210 228 244 270 298 304	1540986806936
SPT(20)	2198122226740073483	0 26 44 54 66 78 84 90 104 156 188 240 254 260 266 278 290 300 318 344	1712514718926
SPT(16)	2198122508439635251	0 12 40 42 52 60 82 88 90 96 118 126 136 138 166 178	1994214280694