Prime p₀= 2378022822649880759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 22 2 16 2 16 2 (?)
a_n: 0 2 78 80 90 92 108 110 132 134 150 152 168 170
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: 170
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 76 10 16 22 16 16

SPT(16)	2378021239093981751	0 36 48 116 140 158 176 186 200 210 228 246 270 338 350 386	-1583555899008
STPT(10)	2378021526799274141	0 2 30 32 60 62 90 92 120 122	-1295850606618
SPT(16)	2378021802598302719	0 18 50 62 104 108 158 174 218 234 284 288 330 342 374 392	-1020051578040
SPT(16)	2378021831071372777	0 42 90 114 120 180 210 214 240 244 274 334 340 364 412 454	-991578507982
SPT(16)	2378022086279284663	0 66 70 88 144 148 150 166 168 184 186 190 246 264 268 334	-736370596096
STPT(10)	2378022179296549517	0 2 30 32 42 44 54 56 84 86	-643353331242
SPT(16)	2378023045255040879	0 12 38 54 150 152 168 170 192 194 210 212 308 324 350 362	222605160120
SPT(16)	2378023293407153971	0 40 42 60 76 126 130 138 160 168 172 222 238 256 258 298	470757273212
TPT(14)	2378023386545779391	0 2 18 20 126 128 276 278 336 338 366 368 378 380	563895898632
SPT(16)	2378023390266255439	0 4 24 42 94 102 114 144 148 178 190 198 250 268 288 292	567616374680
STPT(10)	2378023899182918351	0 2 30 32 78 80 126 128 156 158	1076533037592