Prime p₀= 1172816878219542299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 88 2 46 2 28 2 40 2 (?)
a_n: 0 2 18 20 30 32 120 122 168 170 198 200 240 242
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: 242
Found by: vaughan
db: batch=77, k=14, 16 10 88 46 28 40

SPT(16)	1172815774623998053	0 24 28 40 48 90 108 160 198 250 268 310 318 330 334 358	-1103595544246
SPT(16)	1172816259240594203	0 44 60 198 228 288 294 330 344 380 386 446 476 614 630 674	-618978948096
SPT(16)	1172816268308063791	0 10 12 70 90 102 118 126 142 150 166 178 198 256 258 268	-609911478508
SPT(16)	1172816337132346057	0 42 54 130 162 244 250 270 394 414 420 502 534 610 622 664	-541087196242
SPT(16)	1172816507190240071	0 8 20 32 42 80 120 150 158 188 228 266 276 288 300 308	-371029302228
STPT(10)	1172816519052219401	0 2 6 8 48 50 90 92 96 98	-359167322898
STPT(10)	1172817048802378937	0 2 12 14 42 44 72 74 84 86	170582836638
STPT(10)	1172817101278958459	0 2 42 44 60 62 78 80 120 122	223059416160
STPT(10)	1172817124809399071	0 2 30 32 60 62 90 92 120 122	246589856772
TPT(14)	1172817159237033251	0 2 60 62 138 140 168 170 198 200 216 218 300 302	281017490952
STPT(10)	1172817554464245491	0 2 6 8 48 50 90 92 96 98	676244703192