Prime p₀= 1273669445997700709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 12 14 102 104 138 140 150 152 168 170 192 194
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: 194
Found by: stoneageman
db: batch=77, k=14, 10 88 34 10 16 22

SPT(16)	1273668089934585707	0 14 74 84 96 134 146 162 284 300 312 350 362 372 432 446	-1356063115002
SPT(16)	1273668091840488161	0 30 42 72 80 98 110 126 182 198 210 228 236 266 278 308	-1354157212548
SPT(16)	1273668383429303419	0 22 34 42 84 88 90 132 160 202 204 208 250 258 270 292	-1062568397290
SPT(16)	1273668493452129433	0 16 40 54 64 148 154 156 388 390 396 480 490 504 528 544	-952545571276
SPT(16)	1273668906345029917	0 34 42 64 66 90 132 144 262 274 316 340 342 364 372 406	-539652670792
STPT(10)	1273668937922637461	0 2 6 8 18 20 30 32 36 38	-508075063248
SPT(16)	1273669518556662817	0 66 76 126 132 154 156 210 226 280 282 304 310 360 370 436	72558962108
TPT(14)	1273669712330568737	0 2 30 32 60 62 90 92 132 134 162 164 174 176	266332868028
STPT(10)	1273669742581559501	0 2 6 8 48 50 90 92 96 98	296583858792
STPT(10)	1273670142501445697	0 2 84 86 162 164 240 242 324 326	696503744988
STPT(10)	1273670157602597939	0 2 18 20 30 32 42 44 60 62	711604897230