Prime p₀= 1014551128840097039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 22 2 166 2 28 2 70 2 (?)
a_n: 0 2 42 44 78 80 102 104 270 272 300 302 372 374
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: 374
Found by: stoneageman
db: batch=76, k=14, 40 34 22 166 28 70

SPT(16)	1014549515047024703	0 14 18 60 66 104 110 126 158 174 180 218 224 266 270 284	-1613793072336
TPT(14)	1014549713942281217	0 2 54 56 72 74 114 116 162 164 192 194 240 242	-1414897815822
SPT(16)	1014550216023640733	0 66 98 126 140 218 248 258 308 318 348 426 440 468 500 566	-912816456306
SPT(18)	1014550222212188047	0 12 46 64 100 130 144 154 210 226 282 292 306 336 372 390 424 436	-906627908992
STPT(10)	1014550668073270577	0 2 12 14 72 74 132 134 144 146	-460766826462
STPT(10)	1014550759162144871	0 2 6 8 18 20 30 32 36 38	-369677952168
STPT(10)	1014551358471208697	0 2 42 44 72 74 102 104 144 146	229631111658
SPT(16)	1014551409831314029	0 28 30 64 70 82 100 114 148 162 180 192 198 232 234 262	280991216990
SPT(16)	1014551545273359659	0 44 48 80 98 108 122 132 140 150 164 174 192 224 228 272	416433262620
STPT(10)	1014551632800045971	0 2 36 38 78 80 120 122 156 158	503959948932
SPT(16)	1014551733944061497	0 32 42 66 132 140 170 174 182 186 216 224 290 314 324 356	605103964458