Prime p₀= 2730215463591853649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 88 2 40 2 28 2 (?)
a_n: 0 2 18 20 42 44 60 62 150 152 192 194 222 224
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: 224
Found by: JonS
db: batch=82, k=14, 16 22 16 88 40 28

TPT(14)	2730214027817336999	0 2 72 74 78 80 210 212 378 380 402 404 420 422	-1435774516650
SPT(16)	2730214626637576579	0 22 72 102 172 190 204 222 232 250 264 282 352 382 432 454	-836954277070
STPT(10)	2730214786963277459	0 2 18 20 30 32 42 44 60 62	-676628576190
TPT(14)	2730214855889277539	0 2 168 170 360 362 378 380 408 410 432 434 462 464	-607702576110
STPT(10)	2730214985497289711	0 2 36 38 78 80 120 122 156 158	-478094563938
SPT(16)	2730215132130766829	0 24 38 50 72 120 162 164 168 170 212 260 282 294 308 332	-331461086820
STPT(10)	2730215547172770659	0 2 30 32 60 62 90 92 120 122	83580917010
SPT(16)	2730216183348633017	0 2 36 44 56 104 120 146 150 176 192 240 252 260 294 296	719756779368
STPT(10)	2730216304211451611	0 2 6 8 48 50 90 92 96 98	840619597962
SPT(20)	2730216517918317301	0 18 40 42 48 60 102 112 118 142 156 180 186 196 238 250 256 258 280 298	1054326463652
SPT(16)	2730216760276290731	0 56 62 68 78 92 180 182 216 218 306 320 330 336 342 398	1296684437082