Prime p₀= 2668043611750239131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 22 2 28 2 46 2 106 2 (?)
a_n: 0 2 6 8 66 68 90 92 120 122 168 170 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 4 58 22 28 46 106

TPT(16)	2668042687196913359	0 2 12 14 60 62 90 92 102 104 132 134 180 182 258 260	-924553325772
STPT(12)	2668042687196913371	0 2 48 50 78 80 90 92 120 122 168 170	-924553325760
SPT(16)	2668042805235864461	0 42 56 72 98 116 158 170 198 210 252 270 296 312 326 368	-806514374670
SPT(16)	2668042899338790031	0 48 58 66 102 126 136 148 240 252 262 286 322 330 340 388	-712411449100
STPT(10)	2668043151077667617	0 2 42 44 72 74 102 104 144 146	-460672571514
STPT(10)	2668043591913104147	0 2 30 32 42 44 54 56 84 86	-19837134984
STPT(10)	2668044011653606721	0 2 36 38 78 80 120 122 156 158	399903367590
STPT(10)	2668044800601589229	0 2 18 20 30 32 42 44 60 62	1188851350098
SPT(16)	2668044806769262747	0 36 52 82 84 144 150 154 162 166 172 232 234 264 280 316	1195019023616
SPT(16)	2668045024398424337	0 20 42 50 60 62 84 90 116 122 144 146 156 164 186 206	1412648185206
STPT(10)	2668045407023303441	0 2 78 80 138 140 198 200 276 278	1795273064310