Prime p₀= 1073158697454003617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 22 2 4 2 10 2 (?)
a_n: 0 2 42 44 72 74 90 92 114 116 120 122 132 134
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: 134
Found by: Theadalus
db: batch=76, k=14, 40 28 16 22 4 10

SPT(16)	1073157379569413249	0 14 24 80 114 122 152 200 234 282 312 320 354 410 420 434	-1317884590368
STPT(10)	1073157781291489811	0 2 30 32 78 80 126 128 156 158	-916162513806
STPT(10)	1073157831653778047	0 2 72 74 102 104 132 134 204 206	-865800225570
SPT(16)	1073157872136099467	0 2 6 44 50 56 86 92 174 180 210 216 222 260 264 266	-825317904150
SPT(16)	1073158188259919627	0 12 50 62 84 92 132 144 260 272 312 320 342 354 392 404	-509194083990
STPT(10)	1073158674564086021	0 2 6 8 18 20 30 32 36 38	-22889917596
SPT(16)	1073159115119194777	0 10 34 90 120 126 150 154 192 196 220 226 256 312 336 346	417665191160
STPT(10)	1073159117437166099	0 2 18 20 30 32 42 44 60 62	419983162482
SPT(16)	1073159134094352007	0 24 42 52 72 76 124 154 162 192 240 244 264 274 292 316	436640348390
SPT(16)	1073159241388201549	0 4 30 40 70 88 108 138 154 184 204 222 252 262 288 292	543934197932
SPT(20)	1073159299003510591	0 10 12 70 112 118 166 178 190 252 256 318 330 342 390 396 438 496 498 508	601549506974