Prime p₀= 1912919702205108731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 76 2 22 2 28 2 106 2 (?)
a_n: 0 2 30 32 78 80 156 158 180 182 210 212 318 320
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: 320
Found by: Landjunge
db: batch=80, k=14, 28 46 76 22 28 106

TPT(14)	1912919044941767711	0 2 30 32 78 80 90 92 120 122 156 158 186 188	-657263341020
SPT(16)	1912919087204497289	0 24 68 78 98 114 152 164 168 180 218 234 254 264 308 332	-615000611442
SPT(16)	1912919130488553337	0 24 34 52 90 94 112 120 124 132 150 154 192 210 220 244	-571716555394
SPT(16)	1912919304867429977	0 24 30 72 126 140 152 182 264 294 306 320 374 416 422 446	-397337678754
STPT(10)	1912919502418100777	0 2 42 44 72 74 102 104 144 146	-199787007954
SPT(16)	1912919579213325037	0 4 24 46 60 66 84 144 202 262 280 286 300 322 342 346	-122991783694
SPT(16)	1912919778935447531	0 36 68 78 86 98 120 126 182 188 210 222 230 240 272 308	76730338800
STPT(10)	1912919950692992999	0 2 18 20 30 32 42 44 60 62	248487884268
STPT(10)	1912920251215709969	0 2 48 50 60 62 72 74 120 122	549010601238
SPT(16)	1912920366787049657	0 14 20 24 30 50 66 122 384 440 456 476 482 486 492 506	664581940926
STPT(10)	1912920491554892789	0 2 12 14 30 32 48 50 60 62	789349784058