Prime p₀= 1685616768356090237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 100 2 10 2 16 2 136 2 58 2 (?)
a_n: 0 2 90 92 192 194 204 206 222 224 360 362 420 422
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: 422
Found by: JohnMD
db: batch=79, k=14, 88 100 10 16 136 58

SPT(16)	1685616215100237197	0 30 44 66 116 120 140 144 176 180 200 204 254 276 290 320	-553255853040
STPT(10)	1685616360911262779	0 2 18 20 30 32 42 44 60 62	-407444827458
SPT(16)	1685616610148068981	0 78 82 102 108 118 126 132 166 172 180 190 196 216 220 298	-158208021256
TPT(14)	1685616666052276649	0 2 42 44 72 74 102 104 168 170 180 182 222 224	-102303813588
STPT(10)	1685616700519007951	0 2 30 32 78 80 126 128 156 158	-67837082286
STPT(10)	1685616729756280157	0 2 42 44 72 74 102 104 144 146	-38599810080
SPT(16)	1685616792567154507	0 34 36 42 76 102 126 132 244 250 274 300 334 340 342 376	24211064270
SPT(16)	1685617036124502497	0 24 44 84 90 122 132 162 254 284 294 326 332 372 392 416	267768412260
STPT(10)	1685617626031287899	0 2 18 20 30 32 42 44 60 62	857675197662
STPT(10)	1685617712827352597	0 2 42 44 72 74 102 104 144 146	944471262360
STPT(12)	1685618410680158807	0 2 12 14 30 32 54 56 72 74 84 86	1642324068570