Prime p₀= 2693668133853707051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 250 2 28 2 70 2 28 2 (?)
a_n: 0 2 30 32 66 68 318 320 348 350 420 422 450 452
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: 452
Found by: pah
db: batch=82, k=14, 28 34 250 28 70 28

STPT(12)	2693667515919191687	0 2 30 32 42 44 192 194 204 206 234 236	-617934515364
STPT(10)	2693667603965896469	0 2 18 20 30 32 42 44 60 62	-529887810582
STPT(10)	2693667817752360479	0 2 18 20 30 32 42 44 60 62	-316101346572
STPT(10)	2693667833549622899	0 2 12 14 30 32 48 50 60 62	-300304084152
SPT(16)	2693667846283275371	0 2 80 86 90 116 152 158 180 186 222 248 252 258 336 338	-287570431680
SPT(16)	2693668008290806213	0 18 30 88 90 94 118 150 238 270 294 298 300 358 370 388	-125562900838
SPT(16)	2693668136850875783	0 30 48 54 60 74 84 140 144 200 210 224 230 236 254 284	2997168732
STPT(12)	2693668305949759217	0 2 30 32 60 62 102 104 132 134 162 164	172096052166
STPT(10)	2693668330334037179	0 2 48 50 90 92 132 134 180 182	196480330128
SPT(16)	2693668627744498711	0 10 46 88 150 178 216 222 256 262 300 328 390 432 468 478	493890791660
SPT(16)	2693669102686412723	0 14 54 56 66 74 140 158 186 204 270 278 288 290 330 344	968832705672