Prime p₀= 1126497877187785769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 16 2 16 2 22 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62 78 80 102 104
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: 104
Found by: crashtech
db: batch=76, k=14, 16 10 10 16 16 22

STPT(10)	1126496984317485239	0 2 18 20 30 32 42 44 60 62	-892870300530
SPT(16)	1126497032172511799	0 24 38 42 48 60 74 90 92 108 122 134 140 144 158 182	-845015273970
STPT(10)	1126497214338669539	0 2 42 44 60 62 78 80 120 122	-662849116230
SPT(16)	1126497298870491179	0 2 98 144 150 158 170 192 260 282 294 302 308 354 450 452	-578317294590
STPT(10)	1126497435327655421	0 2 30 32 60 62 90 92 120 122	-441860130348
SPT(16)	1126497693102075571	0 112 120 132 166 190 232 250 252 270 312 336 370 382 390 502	-184085710198
STPT(10)	1126497877187785769	0 2 18 20 30 32 42 44 60 62	0
SPT(16)	1126498150012341443	0 80 84 86 110 138 200 206 228 234 296 324 348 350 354 434	272824555674
STPT(10)	1126498220377931507	0 2 12 14 42 44 72 74 84 86	343190145738
SPT(16)	1126498295376810331	0 40 96 106 108 112 150 178 390 418 456 460 462 472 528 568	418189024562
SPT(16)	1126498471612323709	0 18 22 34 40 42 64 100 102 138 160 162 168 180 184 202	594424537940