Prime p₀= 2077576961760750407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 28 2 34 2 10 2 130 2 (?)
a_n: 0 2 72 74 114 116 144 146 180 182 192 194 324 326
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: 326
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 70 40 28 34 10 130

STPT(10)	2077575610352624507	0 2 30 32 72 74 114 116 144 146	-1351408125900
STPT(10)	2077576074362963771	0 2 36 38 78 80 120 122 156 158	-887397786636
STPT(10)	2077576161929293271	0 2 78 80 138 140 198 200 276 278	-799831457136
STPT(10)	2077576342515565667	0 2 12 14 42 44 72 74 84 86	-619245184740
SPT(16)	2077576700845598591	0 62 66 72 86 92 122 150 182 210 240 246 260 266 270 332	-260915151816
SPT(16)	2077576727608286053	0 30 58 64 100 106 118 130 144 156 168 174 210 216 244 274	-234152464354
STPT(10)	2077577032084374851	0 2 30 32 60 62 90 92 120 122	70323624444
SPT(16)	2077577079867723673	0 4 16 64 84 120 136 154 180 198 214 250 270 318 330 334	118106973266
SPT(16)	2077577319764169581	0 12 18 56 66 80 140 152 156 168 228 242 252 290 296 308	358003419174
TPT(14)	2077577799610348331	0 2 6 8 36 38 48 50 156 158 246 248 420 422	837849597924
SPT(16)	2077578130995696941	0 68 108 162 198 240 258 302 336 380 398 440 476 530 570 638	1169234946534