Prime p₀= 1422316606913585267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 178 2 16 2 10 2 34 2 28 2 (?)
a_n: 0 2 54 56 234 236 252 254 264 266 300 302 330 332
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: UBT - Timbo
db: batch=78, k=14, 52 178 16 10 34 28

TPT(14)	1422315585624191411	0 2 18 20 108 110 138 140 168 170 306 308 360 362	-1021289393856
SPT(16)	1422315931005855751	0 12 22 40 48 126 132 136 162 166 172 250 258 276 286 298	-675907729516
SPT(16)	1422315935824933673	0 6 14 56 80 86 90 116 138 164 168 174 198 240 248 254	-671088651594
STPT(10)	1422316283378131247	0 2 30 32 42 44 54 56 84 86	-323535454020
SPT(16)	1422316293070391149	0 30 78 88 112 120 148 184 228 264 292 300 324 334 382 412	-313843194118
SPT(16)	1422316334653098971	0 20 42 50 62 80 92 132 158 198 210 228 240 248 270 290	-272260486296
SPT(16)	1422316753946360453	0 20 24 38 60 80 96 104 150 158 174 194 216 230 234 254	147032775186
SPT(16)	1422316773154933463	0 8 66 68 78 96 98 164 210 276 278 296 306 308 366 374	166241348196
STPT(10)	1422316885308138887	0 2 12 14 42 44 72 74 84 86	278394553620
SPT(16)	1422317039472327241	0 28 36 40 48 106 132 136 192 196 222 280 288 292 300 328	432558741974
SPT(16)	1422317070803691329	0 14 24 38 50 60 80 98 120 138 158 168 180 194 204 218	463890106062