Prime p₀= 734487399500417669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 64 2 10 2 16 2 28 2 (?)
a_n: 0 2 30 32 42 44 108 110 120 122 138 140 168 170
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: 170
Found by: Theadalus
db: batch=73, k=14, 28 10 64 10 16 28

SPT(16)	734486486878660697	0 42 44 56 80 84 86 90 146 150 152 156 180 192 194 236	-912621756972
SPT(16)	734486581305787403	0 18 20 48 78 98 120 134 210 224 246 266 296 324 326 344	-818194630266
STPT(10)	734486833058293319	0 2 12 14 90 92 168 170 180 182	-566442124350
SPT(16)	734486968337818669	0 24 30 54 94 108 120 138 154 172 184 198 238 262 268 292	-431162599000
STPT(10)	734487026990855189	0 2 18 20 30 32 42 44 60 62	-372509562480
STPT(10)	734487153011193311	0 2 36 38 78 80 120 122 156 158	-246489224358
STPT(10)	734487437244016637	0 2 30 32 42 44 54 56 84 86	37743598968
SPT(16)	734487448489587217	0 12 36 46 90 120 166 190 192 216 262 292 336 346 370 382	48989169548
SPT(16)	734487472640153149	0 4 24 30 42 108 120 238 354 472 484 550 562 568 588 592	73139735480
SPT(16)	734487598716844051	0 18 28 102 126 132 156 160 198 202 226 232 256 330 340 358	199216426382
SPT(16)	734487853207985519	0 14 32 38 42 102 104 114 158 168 170 230 234 240 258 272	453707567850