Prime p₀= 1240117534808885219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 154 2 22 2 16 2 40 2 76 2 (?)
a_n: 0 2 102 104 258 260 282 284 300 302 342 344 420 422
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: Theadalus
db: batch=77, k=14, 100 154 22 16 40 76

SPT(16)	1240115407316098253	0 14 54 80 96 114 140 156 188 204 230 248 264 290 330 344	-2127492786966
STPT(10)	1240115916184262471	0 2 6 8 48 50 90 92 96 98	-1618624622748
TPT(14)	1240116306561834509	0 2 78 80 90 92 150 152 162 164 210 212 252 254	-1228247050710
STPT(10)	1240116865361581349	0 2 18 20 30 32 42 44 60 62	-669447303870
TPT(14)	1240117262964535937	0 2 102 104 114 116 282 284 300 302 312 314 384 386	-271844349282
SPT(16)	1240117489042703731	0 18 42 76 88 102 106 108 130 132 136 150 162 196 220 238	-45766181488
SPT(16)	1240117682243827999	0 34 54 58 94 124 138 178 264 304 318 348 384 388 408 442	147434942780
STPT(10)	1240117795984691717	0 2 30 32 60 62 90 92 120 122	261175806498
SPT(16)	1240117970119174529	0 110 138 164 188 210 230 234 248 252 272 294 318 344 372 482	435310289310
TPT(14)	1240118701219441919	0 2 30 32 42 44 108 110 120 122 150 152 168 170	1166410556700
STPT(12)	1240118701219441919	0 2 30 32 42 44 108 110 120 122 150 152	1166410556700