Prime p₀= 2006769580023108539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 160 2 46 2 10 2 10 2 28 2 (?)
a_n: 0 2 78 80 240 242 288 290 300 302 312 314 342 344
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: 344
Found by: arkiss
db: batch=80, k=14, 76 160 46 10 10 28

SPT(16)	2006767537250484361	0 40 58 82 96 106 166 222 226 282 342 352 366 390 408 448	-2042772624178
STPT(10)	2006767549455269507	0 2 90 92 132 134 174 176 264 266	-2030567839032
SPT(16)	2006767771412128531	0 30 36 42 70 102 160 162 196 198 256 288 316 322 328 358	-1808610980008
SPT(16)	2006767855534873463	0 6 18 96 110 120 134 146 168 180 194 204 218 296 308 314	-1724488235076
SPT(16)	2006768909258661799	0 12 52 82 154 160 168 172 180 184 192 198 270 300 340 352	-670764446740
STPT(10)	2006769455017810919	0 2 18 20 60 62 102 104 120 122	-125005297620
SPT(16)	2006769930837330761	0 32 110 120 146 186 188 212 396 420 422 462 488 498 576 608	350814222222
STPT(10)	2006770065370251161	0 2 30 32 78 80 126 128 156 158	485347142622
TPT(14)	2006770084205037257	0 2 54 56 72 74 240 242 252 254 402 404 462 464	504181928718
TPT(14)	2006770107346863137	0 2 114 116 144 146 234 236 264 266 312 314 420 422	527323754598
STPT(10)	2006770151250036251	0 2 30 32 78 80 126 128 156 158	571226927712