Prime p₀= 1242778830686355761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 40 2 46 2 148 2 (?)
a_n: 0 2 36 38 66 68 78 80 120 122 168 170 318 320
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: 320
Found by: HenkM
db: batch=77, k=14, 34 28 10 40 46 148

TPT(16)	1242777935585065337	0 2 132 134 204 206 252 254 264 266 300 302 402 404 474 476	-895101290424
SPT(16)	1242778149022405883	0 26 54 56 60 116 140 164 216 240 264 320 324 326 354 380	-681663949878
SPT(16)	1242778252224073879	0 42 84 100 112 132 144 172 210 238 250 270 282 298 340 382	-578462281882
STPT(10)	1242778449116070479	0 2 18 20 30 32 42 44 60 62	-381570285282
STPT(10)	1242778494270553577	0 2 30 32 42 44 54 56 84 86	-336415802184
SPT(16)	1242778793998310423	0 18 24 50 54 60 78 96 98 116 134 140 144 170 176 194	-36688045338
STPT(10)	1242779526411161411	0 2 30 32 78 80 126 128 156 158	695724805650
SPT(16)	1242779540043090949	0 18 22 30 58 64 70 78 124 132 138 144 172 180 184 202	709356735188
STPT(10)	1242779544275484671	0 2 30 32 78 80 126 128 156 158	713589128910
TPT(14)	1242779599004030027	0 2 42 44 54 56 120 122 132 134 174 176 252 254	768317674266
STPT(12)	1242779599004030027	0 2 42 44 54 56 120 122 132 134 174 176	768317674266