Prime p₀= 1520914880071716527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 202 2 88 2 34 2 82 2 16 2 (?)
a_n: 0 2 30 32 234 236 324 326 360 362 444 446 462 464
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: 464
Found by: crashtech
db: batch=78, k=14, 28 202 88 34 82 16

STPT(10)	1520913978113242211	0 2 36 38 78 80 120 122 156 158	-901958474316
STPT(10)	1520914023171187199	0 2 42 44 60 62 78 80 120 122	-856900529328
SPT(16)	1520914090028570747	0 12 20 56 102 152 174 182 234 242 264 314 360 396 404 416	-790043145780
SPT(16)	1520914158402746143	0 10 40 54 64 84 126 208 336 418 460 480 490 504 534 544	-721668970384
STPT(10)	1520914158637501679	0 2 18 20 30 32 42 44 60 62	-721434214848
STPT(10)	1520914685145930671	0 2 36 38 78 80 120 122 156 158	-194925785856
SPT(16)	1520914880503754023	0 4 16 30 40 114 120 150 184 214 220 294 304 318 330 334	432037496
STPT(10)	1520915013712059137	0 2 30 32 42 44 54 56 84 86	133640342610
TPT(14)	1520915049753614609	0 2 12 14 48 50 78 80 90 92 132 134 150 152	169681898082
SPT(16)	1520915101634092421	0 6 8 56 80 140 168 182 186 200 228 288 312 360 362 368	221562375894
SPT(16)	1520915178093524443	0 40 48 58 84 156 180 184 240 244 268 340 366 376 384 424	298021807916