Prime p₀= 1273462190807949929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 28 2 58 2 40 2 40 2 (?)
a_n: 0 2 12 14 48 50 78 80 138 140 180 182 222 224
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: 224
Found by: Theadalus
db: batch=77, k=14, 10 34 28 58 40 40

SPT(16)	1273460325777518503	0 10 16 108 148 150 154 190 234 270 274 276 316 408 414 424	-1865030431426
SPT(16)	1273460949584515709	0 8 14 30 50 54 68 108 140 180 194 198 218 234 240 248	-1241223434220
SPT(16)	1273461049700784397	0 22 60 94 102 150 154 220 264 330 334 382 390 424 462 484	-1141107165532
TPT(14)	1273461154245717167	0 2 12 14 120 122 132 134 150 152 234 236 342 344	-1036562232762
STPT(10)	1273461541138130087	0 2 42 44 72 74 102 104 144 146	-649669819842
STPT(10)	1273461900408336797	0 2 54 56 72 74 90 92 144 146	-290399613132
SPT(16)	1273462358230589893	0 4 36 48 58 70 100 126 148 174 204 216 226 238 270 274	167422639964
SPT(16)	1273462843879200259	0 10 22 88 138 174 180 190 192 202 208 244 294 360 372 382	653071250330
SPT(16)	1273463033942264551	0 12 16 60 150 166 180 198 250 268 282 298 388 432 436 448	843134314622
SPT(16)	1273463240529958613	0 18 36 48 78 84 146 156 188 198 260 266 296 308 326 344	1049722008684
STPT(10)	1273463342221634537	0 2 30 32 42 44 54 56 84 86	1151413684608