Prime p₀= 1197833956515331691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 82 2 34 2 28 2 40 2 (?)
a_n: 0 2 78 80 96 98 180 182 216 218 246 248 288 290
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: 290
Found by: mikey
db: batch=77, k=14, 76 16 82 34 28 40

SPT(16)	1197832794634157519	0 8 54 60 134 138 144 168 200 224 230 234 308 314 360 368	-1161881174172
STPT(10)	1197833162260248119	0 2 12 14 90 92 168 170 180 182	-794255083572
SPT(16)	1197833201335904239	0 30 78 84 142 144 178 190 192 204 238 240 298 304 352 382	-755179427452
STPT(10)	1197833442342192869	0 2 12 14 90 92 168 170 180 182	-514173138822
STPT(10)	1197833528380211999	0 2 12 14 90 92 168 170 180 182	-428135119692
STPT(10)	1197833694324078731	0 2 78 80 108 110 138 140 216 218	-262191252960
TPT(14)	1197834112804811297	0 2 12 14 30 32 60 62 90 92 102 104 132 134	156289479606
SPT(16)	1197834318679563709	0 18 30 40 48 72 102 138 244 280 310 334 342 352 364 382	362164232018
TPT(14)	1197834369699492389	0 2 18 20 42 44 102 104 132 134 168 170 258 260	413184160698
SPT(16)	1197834864390315097	0 4 6 46 72 90 112 130 156 174 196 214 240 280 282 286	907874983406
STPT(10)	1197835162461749039	0 2 48 50 90 92 132 134 180 182	1205946417348