Prime p₀= 1268637610187633891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 88 2 40 2 4 2 (?)
a_n: 0 2 18 20 36 38 78 80 168 170 210 212 216 218
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: 218
Found by: vinn@[CNT]
db: batch=77, k=14, 16 16 40 88 40 4

SPT(16)	1268636727145290473	0 6 26 54 78 90 98 110 204 216 224 236 260 288 308 314	-883042343418
TPT(14)	1268636839300408931	0 2 36 38 108 110 138 140 168 170 210 212 246 248	-770887224960
STPT(10)	1268636946827829581	0 2 30 32 60 62 90 92 120 122	-663359804310
SPT(16)	1268637030775349153	0 14 48 74 90 120 128 176 198 246 254 284 300 326 360 374	-579412284738
SPT(16)	1268637178763420077	0 10 30 36 72 82 112 150 196 234 264 274 310 316 336 346	-431424213814
SPT(16)	1268637506199842281	0 28 46 52 60 66 72 76 192 196 202 208 216 222 240 268	-103987791610
STPT(10)	1268637823928492747	0 2 30 32 72 74 114 116 144 146	213740858856
STPT(10)	1268638010973203579	0 2 18 20 60 62 102 104 120 122	400785569688
STPT(10)	1268638335188366039	0 2 18 20 60 62 102 104 120 122	725000732148
STPT(10)	1268638422762110357	0 2 12 14 42 44 72 74 84 86	812574476466
STPT(10)	1268638511067223661	0 2 30 32 78 80 126 128 156 158	900879589770