Prime p₀= 1056931611923707319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 10 2 58 2 10 2 (?)
a_n: 0 2 18 20 42 44 48 50 60 62 120 122 132 134
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: 134
Found by: stoneageman
db: batch=76, k=14, 16 22 4 10 58 10

TPT(14)	1056929988925603979	0 2 30 32 90 92 102 104 138 140 180 182 240 242	-1622998103340
SPT(16)	1056930556765336219	0 28 42 94 124 162 180 192 250 262 280 318 348 400 414 442	-1055158371100
SPT(16)	1056930664590716977	0 22 42 52 112 130 132 232 234 334 336 354 414 424 444 466	-947332990342
SPT(16)	1056930688696117463	0 26 50 60 96 104 140 144 170 174 210 218 254 264 288 314	-923227589856
SPT(16)	1056930866180363689	0 12 40 72 84 88 124 142 210 228 264 268 280 312 340 352	-745743343630
SPT(16)	1056930875767487341	0 12 46 52 88 96 102 106 192 196 202 210 246 252 286 298	-736156219978
SPT(16)	1056931743613122731	0 56 156 158 168 200 228 230 336 338 366 398 408 410 510 566	131689415412
STPT(10)	1056932080772779889	0 2 18 20 30 32 42 44 60 62	468849072570
SPT(16)	1056932152452696577	0 12 24 54 120 124 142 184 192 234 252 256 322 352 364 376	540528989258
SPT(16)	1056932335594730863	0 30 46 64 66 114 130 190 234 294 310 358 360 378 394 424	723671023544
SPT(16)	1056932459371091483	0 8 20 38 56 110 116 140 144 168 174 228 246 264 276 284	847447384164