Prime p₀= 2496834319368690401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 136 2 16 2 28 2 82 2 (?)
a_n: 0 2 36 38 60 62 198 200 216 218 246 248 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 34 22 136 16 28 82

STPT(10)	2496832961464772477	0 2 30 32 42 44 54 56 84 86	-1357903917924
SPT(16)	2496833171125306087	0 12 16 22 34 54 76 84 112 120 142 162 174 180 184 196	-1148243384314
SPT(16)	2496833217198092629	0 42 70 114 148 154 174 202 240 268 288 294 328 372 400 442	-1102170597772
SPT(16)	2496833498298923617	0 10 42 52 64 72 94 114 142 162 184 192 204 214 246 256	-821069766784
SPT(16)	2496833592017715113	0 8 48 78 114 144 146 150 224 228 230 260 296 326 366 374	-727350975288
STPT(10)	2496834272546223089	0 2 18 20 30 32 42 44 60 62	-46822467312
STPT(10)	2496834764703705467	0 2 30 32 42 44 54 56 84 86	445335015066
STPT(10)	2496834856673267447	0 2 30 32 42 44 54 56 84 86	537304577046
SPT(16)	2496835073262446251	0 48 58 76 88 118 196 208 228 240 318 348 360 378 388 436	753893755850
SPT(16)	2496835120254673511	0 26 48 60 66 68 150 176 192 218 300 302 308 320 342 368	800885983110
SPT(16)	2496835232000877323	0 30 36 78 114 134 156 164 180 188 210 230 266 308 314 344	912632186922