Prime p₀= 2380622808015029957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 34 2 70 2 16 2 (?)
a_n: 0 2 12 14 54 56 84 86 120 122 192 194 210 212
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: 212
Found by: Coleslaw
db: batch=81, k=14, 10 40 28 34 70 16

STPT(10)	2380621999398416867	0 2 30 32 60 62 90 92 120 122	-808616613090
SPT(16)	2380622177260674797	0 2 14 62 92 120 126 132 164 170 176 204 234 282 294 296	-630754355160
SPT(16)	2380622229408303467	0 32 72 80 110 116 156 200 276 320 360 366 396 404 444 476	-578606726490
STPT(10)	2380622574966616961	0 2 36 38 78 80 120 122 156 158	-233048412996
TPT(14)	2380622737059583097	0 2 72 74 90 92 174 176 264 266 300 302 342 344	-70955446860
STPT(10)	2380622769026464187	0 2 30 32 42 44 54 56 84 86	-38988565770
SPT(16)	2380623819306363493	0 4 30 46 64 70 100 106 108 114 144 150 168 184 210 214	1011291333536
SPT(16)	2380624050620435393	0 8 20 26 50 60 114 146 168 200 254 264 288 294 306 314	1242605405436
SPT(16)	2380624071455742319	0 12 28 30 42 72 82 120 160 198 208 238 250 252 268 280	1263440712362
SPT(16)	2380625357781135991	0 78 120 142 148 180 186 198 220 232 238 270 276 298 340 418	2549766106034
STPT(10)	2380625450092581269	0 2 42 44 90 92 138 140 180 182	2642077551312