Prime p₀= 1786439711201544491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 22 2 58 2 76 2 16 2 (?)
a_n: 0 2 96 98 156 158 180 182 240 242 318 320 336 338
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: 338
Found by: Orange Kid
db: batch=79, k=14, 94 58 22 58 76 16

SPT(16)	1786438605747227647	0 22 24 40 54 70 90 222 232 364 384 400 414 430 432 454	-1105454316844
STPT(10)	1786438747350990329	0 2 42 44 60 62 78 80 120 122	-963850554162
STPT(10)	1786439364049280117	0 2 60 62 72 74 84 86 144 146	-347152264374
SPT(16)	1786439450411006057	0 6 14 30 32 36 44 72 134 162 170 174 176 192 200 206	-260790538434
SPT(16)	1786439483540651273	0 8 50 68 74 98 126 174 230 278 306 330 336 354 396 404	-227660893218
SPT(16)	1786439592987360539	0 8 18 42 78 98 114 120 152 158 174 194 230 254 264 272	-118214183952
STPT(10)	1786439882535596357	0 2 24 26 42 44 60 62 84 86	171334051866
STPT(10)	1786440298154648819	0 2 12 14 90 92 168 170 180 182	586953104328
SPT(16)	1786440428123163311	0 2 32 48 132 210 290 318 332 360 440 518 602 618 648 650	716921618820
SPT(16)	1786440432453708373	0 16 24 66 88 90 96 150 244 298 304 306 328 370 378 394	721252163882
STPT(10)	1786440634780445459	0 2 12 14 30 32 48 50 60 62	923578900968