Prime p₀= 1014489319188978179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 58 2 58 2 4 2 82 2 (?)
a_n: 0 2 30 32 162 164 222 224 282 284 288 290 372 374
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, 28 130 58 58 4 82

SPT(18)	1014488207074142291	0 12 18 30 32 96 110 126 168 170 212 228 242 306 308 320 326 338	-1112114835888
SPT(16)	1014488324795459729	0 8 12 20 68 90 98 102 140 144 152 174 222 230 234 242	-994393518450
STPT(12)	1014488794513847111	0 2 18 20 30 32 186 188 198 200 216 218	-524675131068
STPT(10)	1014488815869739979	0 2 18 20 30 32 42 44 60 62	-503319238200
SPT(16)	1014488887744848577	0 12 34 40 46 76 94 106 150 162 180 210 216 222 244 256	-431444129602
SPT(16)	1014488937422762573	0 36 74 98 134 140 144 158 186 200 204 210 246 270 308 344	-381766215606
TPT(14)	1014489460684126199	0 2 48 50 78 80 342 344 390 392 528 530 612 614	141495148020
STPT(10)	1014489616256850707	0 2 30 32 42 44 54 56 84 86	297067872528
STPT(10)	1014489814343778467	0 2 30 32 60 62 90 92 120 122	495154800288
SPT(16)	1014490037449243631	0 86 90 110 132 146 188 212 276 300 342 356 378 398 402 488	718260265452
SPT(16)	1014490537670081657	0 12 26 42 54 56 86 96 110 120 150 152 164 180 194 206	1218481103478