Prime p₀= 2353698442571162459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 52 2 64 2 130 2 10 2 (?)
a_n: 0 2 108 110 168 170 222 224 288 290 420 422 432 434
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: 434
Found by: Groo
db: batch=81, k=14, 106 58 52 64 130 10

STPT(10)	2353696033857526619	0 2 18 20 30 32 42 44 60 62	-2408713635840
SPT(18)	2353696073828665963	0 18 90 94 168 178 220 234 256 258 280 294 336 346 420 424 496 514	-2368742496496
TPT(14)	2353696459088896937	0 2 42 44 114 116 252 254 264 266 294 296 420 422	-1983482265522
SPT(16)	2353696874056848851	0 6 42 68 108 110 152 188 300 336 378 380 420 446 482 488	-1568514313608
STPT(10)	2353697304263198141	0 2 66 68 108 110 150 152 216 218	-1138307964318
SPT(16)	2353697584438233751	0 46 48 60 70 112 142 148 180 186 216 258 268 280 282 328	-858132928708
STPT(10)	2353698867278350127	0 2 30 32 42 44 54 56 84 86	424707187668
SPT(16)	2353698895669022309	0 2 50 92 108 134 144 150 182 188 198 224 240 282 330 332	453097859850
SPT(16)	2353698971678704049	0 2 8 30 38 78 98 102 140 144 164 204 212 234 240 242	529107541590
SPT(16)	2353699556379509213	0 14 68 78 108 126 144 156 248 260 278 296 326 336 390 404	1113808346754
STPT(10)	2353699704759012521	0 2 6 8 18 20 30 32 36 38	1262187850062