Prime p₀= 1543571964465110441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 70 2 16 2 88 2 28 2 (?)
a_n: 0 2 36 38 66 68 138 140 156 158 246 248 276 278
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: 278
Found by: xii5ku
db: batch=78, k=14, 34 28 70 16 88 28

SPT(16)	1543570321618381321	0 28 30 40 82 88 100 130 180 210 222 228 270 280 282 310	-1642846729120
STPT(10)	1543570617950281379	0 2 18 20 30 32 42 44 60 62	-1346514829062
SPT(20)	1543570668670148441	0 66 78 96 102 126 140 182 228 276 362 410 456 498 512 536 542 560 572 638	-1295794962000
STPT(10)	1543571057114484257	0 2 30 32 72 74 114 116 144 146	-907350626184
SPT(16)	1543571369449703003	0 14 36 90 98 116 128 146 168 186 198 216 224 278 300 314	-595015407438
STPT(10)	1543571666269313501	0 2 6 8 18 20 30 32 36 38	-298195796940
SPT(16)	1543571989625567617	0 34 72 130 132 136 174 226 270 322 360 364 366 424 462 496	25160457176
SPT(16)	1543572509333269927	0 10 40 54 66 70 154 172 204 222 306 310 322 336 366 376	544868159486
STPT(10)	1543573369757474327	0 2 24 26 42 44 60 62 84 86	1405292363886
STPT(10)	1543573396185678467	0 2 30 32 42 44 54 56 84 86	1431720568026
SPT(16)	1543573783003777579	0 22 60 70 82 94 160 178 204 222 288 300 312 322 360 382	1818538667138