Prime p₀= 1312240086147109631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 10 2 34 2 22 2 (?)
a_n: 0 2 66 68 96 98 108 110 120 122 156 158 180 182
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: 182
Found by: BlackGoose05
db: batch=77, k=14, 64 28 10 10 34 22

SPT(16)	1312238001250941521	0 18 32 38 72 96 210 242 246 278 392 416 450 456 470 488	-2084896168110
SPT(16)	1312238027635895981	0 8 38 60 62 80 122 180 188 246 288 306 308 330 360 368	-2058511213650
SPT(16)	1312238108542080451	0 28 78 90 130 160 166 168 208 210 216 246 286 298 348 376	-1977605029180
SPT(16)	1312238644201071571	0 6 76 88 102 130 132 138 160 166 168 196 210 222 292 298	-1441946038060
STPT(10)	1312239173941138757	0 2 12 14 42 44 72 74 84 86	-912205970874
SPT(16)	1312239367236369419	0 8 12 42 72 152 170 182 198 210 228 308 338 368 372 380	-718910740212
SPT(20)	1312240220740279991	0 2 12 62 68 72 116 150 156 158 180 182 188 222 266 270 276 326 336 338	134593170360
STPT(10)	1312240377975006479	0 2 18 20 30 32 42 44 60 62	291827896848
STPT(12)	1312240854650132969	0 2 18 20 42 44 48 50 72 74 90 92	768503023338
STPT(10)	1312241196479457059	0 2 12 14 30 32 48 50 60 62	1110332347428
SPT(16)	1312241354411251321	0 10 18 30 88 156 168 180 226 238 250 318 376 388 396 406	1268264141690