Prime p₀= 2733186817360458791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 34 2 10 2 148 2 10 2 (?)
a_n: 0 2 78 80 90 92 126 128 138 140 288 290 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 76 10 34 10 148 10

SPT(16)	2733186351945249091	0 42 52 90 100 136 168 178 180 190 222 258 268 306 316 358	-465415209700
SPT(16)	2733186394252028761	0 72 102 142 190 238 246 258 310 322 330 378 426 466 496 568	-423108430030
STPT(10)	2733186404842989671	0 2 36 38 78 80 120 122 156 158	-412517469120
SPT(16)	2733186615061903141	0 18 30 52 66 100 102 148 150 196 198 232 246 268 280 298	-202298555650
SPT(16)	2733186739955306333	0 26 44 84 128 156 168 266 378 476 488 516 560 600 618 644	-77405152458
SPT(16)	2733186770696526983	0 38 44 56 80 90 104 116 198 210 224 234 258 270 276 314	-46663931808
STPT(10)	2733186861057905477	0 2 30 32 42 44 54 56 84 86	43697446686
STPT(10)	2733187334838741161	0 2 78 80 108 110 138 140 216 218	517478282370
SPT(16)	2733187445461445381	0 8 30 50 92 162 170 252 308 390 398 468 510 530 552 560	628100986590
STPT(10)	2733187563841440911	0 2 6 8 18 20 30 32 36 38	746480982120
SPT(16)	2733187626567518429	0 2 50 92 102 128 182 204 218 240 294 320 330 372 420 422	809207059638