Prime p₀= 1268636839300408931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 28 2 28 2 40 2 34 2 (?)
a_n: 0 2 36 38 108 110 138 140 168 170 210 212 246 248
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: 248
Found by: vinn@[CNT]
db: batch=77, k=14, 34 70 28 28 40 34

STPT(10)	1268635824753207731	0 2 6 8 18 20 30 32 36 38	-1014547201200
STPT(10)	1268635953966343811	0 2 36 38 78 80 120 122 156 158	-885334065120
STPT(10)	1268636346805797857	0 2 24 26 42 44 60 62 84 86	-492494611074
STPT(10)	1268636378285539997	0 2 30 32 42 44 54 56 84 86	-461014868934
SPT(16)	1268636661371904329	0 8 14 18 42 44 74 98 114 138 168 170 194 198 204 212	-177928504602
SPT(16)	1268636727145290473	0 6 26 54 78 90 98 110 204 216 224 236 260 288 308 314	-112155118458
STPT(10)	1268636946827829581	0 2 30 32 60 62 90 92 120 122	107527420650
SPT(16)	1268637030775349153	0 14 48 74 90 120 128 176 198 246 254 284 300 326 360 374	191474940222
SPT(16)	1268637178763420077	0 10 30 36 72 82 112 150 196 234 264 274 310 316 336 346	339463011146
SPT(16)	1268637506199842281	0 28 46 52 60 66 72 76 192 196 202 208 216 222 240 268	666899433350
TPT(14)	1268637610187633891	0 2 18 20 36 38 78 80 168 170 210 212 216 218	770887224960