Prime p₀= 1078197767112892187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 88 2 334 2 40 2 40 2 28 2 (?)
a_n: 0 2 144 146 234 236 570 572 612 614 654 656 684 686
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: 686
Found by: stoneageman
db: batch=76, k=14, 142 88 334 40 40 28

SPT(16)	1078196428888295671	0 6 12 28 40 42 76 106 132 162 196 198 210 226 232 238	-1338224596516
SPT(16)	1078196521116014119	0 24 30 40 54 72 112 124 138 150 190 208 222 232 238 262	-1245996878068
SPT(16)	1078196893717313509	0 28 42 60 112 132 174 184 198 208 250 270 322 340 354 382	-873395578678
STPT(10)	1078196945847453737	0 2 30 32 42 44 54 56 84 86	-821265438450
SPT(16)	1078196998291512917	0 2 56 60 72 86 90 122 174 206 210 224 236 240 294 296	-768821379270
STPT(10)	1078197429616022039	0 2 42 44 60 62 78 80 120 122	-337496870148
SPT(16)	1078197784165364249	0 2 18 84 90 122 140 164 168 192 210 242 248 314 330 332	17052472062
TPT(14)	1078197896170080731	0 2 6 8 66 68 168 170 276 278 336 338 390 392	129057188544
TPT(14)	1078198021034051987	0 2 12 14 24 26 54 56 60 62 102 104 114 116	253921159800
SPT(16)	1078198134355163999	0 24 38 78 104 114 140 150 188 198 224 234 260 300 314 338	367242271812
STPT(10)	1078198146241318481	0 2 36 38 78 80 120 122 156 158	379128426294