Prime p₀= 1173746775334104857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 40 2 34 2 28 2 52 2 (?)
a_n: 0 2 84 86 132 134 174 176 210 212 240 242 294 296
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: 296
Found by: HenkM
db: batch=77, k=14, 82 46 40 34 28 52

SPT(16)	1173745947551553763	0 34 46 48 84 90 114 150 154 190 214 220 256 258 270 304	-827782551094
STPT(10)	1173746236271619779	0 2 18 20 30 32 42 44 60 62	-539062485078
SPT(16)	1173746342529624833	0 6 26 56 60 78 128 138 176 186 236 254 258 288 308 314	-432804480024
SPT(16)	1173746403284529727	0 6 22 34 66 90 132 142 204 214 256 280 312 324 340 346	-372049575130
STPT(10)	1173746472366739079	0 2 48 50 90 92 132 134 180 182	-302967365778
SPT(16)	1173746704669075969	0 4 22 28 34 60 64 82 90 108 112 138 144 150 168 172	-70665028888
SPT(16)	1173747123570707633	0 8 36 50 84 114 140 164 180 204 230 260 294 308 336 344	348236602776
STPT(10)	1173747282245198201	0 2 30 32 78 80 126 128 156 158	506911093344
STPT(10)	1173747366183571757	0 2 30 32 42 44 54 56 84 86	590849466900
TPT(14)	1173747437541404021	0 2 30 32 36 38 48 50 90 92 126 128 156 158	662207299164
TPT(14)	1173747456358002467	0 2 102 104 144 146 294 296 342 344 390 392 432 434	681023897610