Prime p₀= 2181249352682423657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 40 2 70 2 34 2 40 2 (?)
a_n: 0 2 54 56 60 62 102 104 174 176 210 212 252 254
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: 254
Found by: JayPi
db: batch=81, k=14, 52 4 40 70 34 40

STPT(10)	2181248550338325077	0 2 30 32 42 44 54 56 84 86	-802344098580
STPT(12)	2181248616153838199	0 2 12 14 42 44 48 50 78 80 90 92	-736528585458
SPT(16)	2181248805243394921	0 6 16 28 58 66 112 136 192 216 262 270 300 312 322 328	-547439028736
SPT(16)	2181248813337689981	0 2 18 56 72 140 146 182 246 282 288 356 372 410 426 428	-539344733676
SPT(16)	2181248932640142389	0 8 104 110 114 120 122 134 168 180 182 188 192 198 294 302	-420042281268
SPT(16)	2181248935457703757	0 6 34 66 94 120 150 172 174 196 226 252 280 312 340 346	-417224719900
SPT(16)	2181249363512615983	0 30 34 60 88 100 114 118 126 130 144 156 184 210 214 244	10830192326
STPT(10)	2181249798325740809	0 2 18 20 30 32 42 44 60 62	445643317152
SPT(16)	2181250136170733879	0 14 80 104 122 132 180 182 240 242 290 300 318 342 408 422	783488310222
SPT(16)	2181250258862351251	0 40 78 120 138 150 196 208 210 222 268 280 298 340 378 418	906179927594
SPT(16)	2181250314477484849	0 18 22 40 58 120 162 180 190 208 250 312 330 348 352 370	961795061192