Prime p₀= 1246878841622607407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 16 2 40 2 64 2 (?)
a_n: 0 2 12 14 54 56 84 86 102 104 144 146 210 212
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: 212
Found by: emoga
db: batch=77, k=14, 10 40 28 16 40 64

STPT(10)	1246877478062123819	0 2 18 20 30 32 42 44 60 62	-1363560483588
SPT(16)	1246878068890806389	0 24 78 92 104 120 134 162 170 198 212 228 240 254 308 332	-772731801018
SPT(18)	1246878254600459023	0 28 60 70 96 118 138 196 210 244 258 316 336 358 384 394 426 454	-587022148384
SPT(16)	1246878287932453961	0 2 26 30 38 56 72 108 170 206 222 240 248 252 276 278	-553690153446
STPT(10)	1246878754914832901	0 2 36 38 78 80 120 122 156 158	-86707774506
SPT(16)	1246878769454276653	0 10 28 34 78 118 126 144 160 178 186 226 270 276 294 304	-72168330754
SPT(16)	1246879482676149577	0 16 40 72 100 136 154 156 160 162 180 216 244 276 300 316	641053542170
SPT(16)	1246879646187409699	0 48 58 84 90 100 112 220 222 330 342 352 358 384 394 442	804564802292
STPT(12)	1246879727624927369	0 2 30 32 120 122 198 200 288 290 318 320	886002319962
SPT(16)	1246879750442018821	0 16 52 66 72 78 130 172 216 258 310 316 322 336 372 388	908819411414
SPT(16)	1246879765773956029	0 4 24 34 58 60 70 84 178 192 202 204 228 238 258 262	924151348622