Prime p₀= 907377865059931409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 34 2 82 2 154 2 10 2 (?)
a_n: 0 2 60 62 102 104 138 140 222 224 378 380 390 392
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: 392
Found by: HenkM
db: batch=76, k=14, 58 40 34 82 154 10

SPT(16)	907377033538414843	0 34 66 118 130 136 150 154 270 274 288 294 306 358 390 424	-831521516566
STPT(10)	907377212687797001	0 2 36 38 168 170 300 302 336 338	-652372134408
STPT(10)	907377380437933367	0 2 30 32 42 44 54 56 84 86	-484621998042
SPT(16)	907377388508889391	0 42 46 52 60 70 78 88 90 100 108 118 126 132 136 178	-476551042018
STPT(10)	907377479932038131	0 2 30 32 78 80 126 128 156 158	-385127893278
SPT(18)	907377852192886759	0 28 42 58 72 132 168 172 192 220 240 244 280 340 354 370 384 412	-12867044650
SPT(16)	907377890921574763	0 4 28 40 70 78 88 166 168 246 256 264 294 306 330 334	25861643354
SPT(16)	907378013738866913	0 8 18 48 150 158 206 210 224 228 276 284 386 416 426 434	148678935504
STPT(10)	907378046173363949	0 2 18 20 30 32 42 44 60 62	181113432540
TPT(14)	907378298240045339	0 2 12 14 78 80 138 140 162 164 168 170 180 182	433180113930
SPT(16)	907378391022066653	0 8 18 60 68 74 78 84 104 110 114 120 128 170 180 188	525962135244