Prime p₀= 2735173004454029351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 148 2 52 2 88 2 46 2 40 2 (?)
a_n: 0 2 36 38 186 188 240 242 330 332 378 380 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 34 148 52 88 46 40

SPT(16)	2735169551621577649	0 10 22 40 82 108 118 138 274 294 304 330 372 390 402 412	-3452832451702
SPT(16)	2735170094208125837	0 42 54 134 152 156 170 174 182 186 200 204 222 302 314 356	-2910245903514
SPT(16)	2735170224163011203	0 6 18 20 78 90 116 126 140 150 176 188 246 248 260 266	-2780291018148
STPT(10)	2735172097071983519	0 2 18 20 30 32 42 44 60 62	-907382045832
SPT(16)	2735172575372310889	0 12 18 28 30 58 72 84 268 280 294 322 324 334 340 352	-429081718462
SPT(16)	2735172769473097913	0 18 36 44 50 86 128 134 150 156 198 234 240 248 266 284	-234980931438
STPT(10)	2735173685501734427	0 2 30 32 42 44 54 56 84 86	681047705076
STPT(10)	2735174245196561237	0 2 24 26 42 44 60 62 84 86	1240742531886
STPT(10)	2735174992688535491	0 2 6 8 48 50 90 92 96 98	1988234506140
STPT(10)	2735174998622156171	0 2 6 8 48 50 90 92 96 98	1994168126820
SPT(16)	2735175939530099531	0 26 32 42 90 102 110 116 156 162 170 182 230 240 246 272	2935076070180