Prime p₀= 977435841593056541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 70 2 16 2 40 2 (?)
a_n: 0 2 36 38 48 50 78 80 150 152 168 170 210 212
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: 212
Found by: stoneageman
db: batch=76, k=14, 34 10 28 70 16 40

SPT(16)	977435058165406783	0 10 34 40 60 66 118 130 174 186 238 244 264 270 294 304	-783427649758
STPT(10)	977435628610952867	0 2 30 32 72 74 114 116 144 146	-212982103674
STPT(10)	977435661232255397	0 2 30 32 42 44 54 56 84 86	-180360801144
SPT(16)	977435686337864639	0 2 8 78 110 152 200 230 252 282 330 372 404 474 480 482	-155255191902
SPT(16)	977435744961315113	0 8 14 38 96 110 126 140 144 158 174 188 246 270 276 284	-96631741428
SPT(16)	977435821677783371	0 2 36 116 126 140 150 170 192 212 222 236 246 326 360 362	-19915273170
SPT(16)	977436337472618147	0 42 60 92 120 152 222 264 290 332 402 434 462 494 512 554	495879561606
STPT(10)	977436349668459227	0 2 30 32 42 44 54 56 84 86	508075402686
SPT(16)	977436484609491707	0 6 36 62 72 80 86 92 120 126 132 140 150 176 206 212	643016435166
SPT(16)	977436506964729529	0 4 12 34 42 60 72 82 120 130 142 160 168 190 198 202	665371672988
TPT(14)	977436659553009989	0 2 12 14 60 62 90 92 132 134 210 212 282 284	817959953448