Prime p₀= 2677214546534045897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 28 2 82 2 4 2 52 2 (?)
a_n: 0 2 42 44 120 122 150 152 234 236 240 242 294 296
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: JayPi
db: batch=82, k=14, 40 76 28 82 4 52

SPT(16)	2677213845271418309	0 48 50 54 90 98 162 174 338 350 414 422 458 462 464 512	-701262627588
TPT(14)	2677214013556543169	0 2 90 92 228 230 258 260 288 290 300 302 330 332	-532977502728
SPT(16)	2677214161472549323	0 34 70 78 88 94 108 130 174 196 210 216 226 234 270 304	-385061496574
SPT(16)	2677214226751454113	0 6 16 34 40 76 114 154 180 220 258 294 300 318 328 334	-319782591784
TPT(14)	2677214272559656601	0 2 30 32 48 50 168 170 198 200 288 290 408 410	-273974389296
TPT(14)	2677214435283497201	0 2 156 158 288 290 306 308 330 332 336 338 360 362	-111250548696
STPT(12)	2677214561264190917	0 2 30 32 54 56 90 92 114 116 144 146	14730145020
SPT(16)	2677214644946122273	0 16 28 70 114 124 154 160 174 180 210 220 264 306 318 334	98412076376
SPT(16)	2677214740131234943	0 40 48 78 124 160 168 190 264 286 294 330 376 406 414 454	193597189046
STPT(10)	2677214885503765331	0 2 6 8 48 50 90 92 96 98	338969719434
SPT(16)	2677214893562415497	0 56 74 92 104 132 146 156 200 210 224 252 264 282 300 356	347028369600