Prime p₀= 2777605531389992999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 70 2 28 2 34 2 40 2 (?)
a_n: 0 2 42 44 120 122 192 194 222 224 258 260 300 302
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: 302
Found by: conf [MM]
db: batch=82, k=14, 40 76 70 28 34 40

SPT(16)	2777604594940144181	0 18 32 80 150 158 170 176 192 198 210 218 288 336 350 368	-936449848818
SPT(16)	2777604740477734319	0 78 132 168 174 182 210 234 248 272 300 308 314 350 404 482	-790912258680
STPT(10)	2777604748336895987	0 2 42 44 72 74 102 104 144 146	-783053097012
SPT(16)	2777604760050927271	0 22 58 90 100 142 168 178 180 190 216 258 268 300 336 358	-771339065728
SPT(16)	2777605200494176109	0 2 24 80 92 102 114 170 234 290 302 312 324 380 402 404	-330895816890
SPT(16)	2777605332049696777	0 24 46 70 76 82 100 184 252 336 354 360 366 390 412 436	-199340296222
SPT(13)	2777605673769037829	0 42 60 84 90 120 132 144 174 180 204 222 264	142379044830
STPT(10)	2777605767570247037	0 2 54 56 72 74 90 92 144 146	236180254038
STPT(10)	2777606245410154157	0 2 24 26 42 44 60 62 84 86	714020161158
SPT(16)	2777606288835138133	0 10 24 28 46 48 76 114 130 168 196 198 216 220 234 244	757445145134
STPT(10)	2777607228265855169	0 2 30 32 60 62 90 92 120 122	1696875862170