Prime p₀= 3027597540983761091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 10 2 16 2 16 2 (?)
a_n: 0 2 36 38 66 68 78 80 90 92 108 110 126 128
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: 128
Found by: eclipse99
db: batch=82, k=14, 34 28 10 10 16 16

STPT(10)	3027594908683645187	0 2 30 32 42 44 54 56 84 86	-2632300115904
SPT(16)	3027595341547811851	0 12 46 90 102 120 130 138 160 168 178 196 208 252 286 298	-2199435949240
SPT(16)	3027595577950627759	0 10 34 52 82 102 144 168 214 238 280 300 330 348 372 382	-1963033133332
SPT(16)	3027596403807277597	0 42 52 66 114 126 150 166 180 196 220 232 280 294 304 346	-1137176483494
SPT(16)	3027597140226660311	0 6 8 18 30 48 102 120 308 326 380 398 410 420 422 428	-400757100780
STPT(10)	3027597475531402691	0 2 30 32 78 80 126 128 156 158	-65452358400
SPT(16)	3027597555969650621	0 2 38 68 90 128 132 140 198 206 210 248 270 300 336 338	14985889530
STPT(10)	3027598911619312757	0 2 24 26 42 44 60 62 84 86	1370635551666
SPT(16)	3027599226029036171	0 6 18 30 32 50 66 102 146 182 198 216 218 230 242 248	1685045275080
STPT(10)	3027599254495872137	0 2 42 44 72 74 102 104 144 146	1713512111046
SPT(16)	3027599471921711321	0 38 42 96 110 162 180 182 186 188 206 258 272 326 330 368	1930937950230