Prime p₀= 1016931777991118159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 40 2 118 2 4 2 52 2 (?)
a_n: 0 2 60 62 120 122 162 164 282 284 288 290 342 344
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: 344
Found by: HenkM
db: batch=76, k=14, 58 58 40 118 4 52

STPT(12)	1016930047020003329	0 2 12 14 42 44 48 50 78 80 90 92	-1730971114830
SPT(16)	1016930700098956427	0 24 30 44 50 80 140 156 290 306 366 396 402 416 422 446	-1077892161732
SPT(16)	1016930929819844731	0 18 28 30 46 70 118 132 136 150 198 222 238 240 250 268	-848171273428
SPT(16)	1016931119242081397	0 2 14 74 90 102 144 170 186 212 254 266 282 342 354 356	-658749036762
TPT(14)	1016931253678187429	0 2 30 32 150 152 168 170 180 182 240 242 282 284	-524312930730
SPT(16)	1016931340304628113	0 44 60 78 98 128 186 204 260 278 336 366 386 404 420 464	-437686490046
SPT(16)	1016932917965053517	0 24 30 54 72 84 86 102 134 150 152 164 182 206 212 236	1139973935358
STPT(10)	1016933584315950137	0 2 42 44 72 74 102 104 144 146	1806324831978
SPT(16)	1016934446227688623	0 4 18 34 40 154 174 204 220 250 270 384 390 406 420 424	2668236570464
SPT(16)	1016934558215504011	0 6 10 12 28 58 66 72 136 142 150 180 196 198 202 208	2780224385852
STPT(10)	1016935011140061857	0 2 30 32 42 44 54 56 84 86	3233148943698