Prime p₀= 778526784961233389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 40 2 64 2 10 2 (?)
a_n: 0 2 42 44 48 50 90 92 132 134 198 200 210 212
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: [SG-2W]Kurzer
db: batch=73, k=14, 40 4 40 40 64 10

SPT(18)	778526027650924051	0 10 36 48 72 90 102 148 186 202 240 286 298 316 340 352 378 388	-757310309338
SPT(16)	778526125174647809	0 42 92 102 144 152 168 182 240 254 270 278 320 330 380 422	-659786585580
SPT(16)	778526352743476237	0 10 46 66 82 102 120 136 180 196 214 234 250 270 306 316	-432217757152
STPT(10)	778526522583049949	0 2 42 44 60 62 78 80 120 122	-262378183440
SPT(16)	778526547472326151	0 28 90 102 108 136 142 186 202 246 252 280 286 298 360 388	-237488907238
SPT(16)	778526695980140477	0 12 56 90 152 182 186 206 300 320 324 354 416 450 494 506	-88981092912
SPT(16)	778527726224070887	0 86 96 102 116 140 152 182 210 240 252 276 290 296 306 392	941262837498
SPT(16)	778527835973214737	0 42 60 86 92 146 152 174 182 204 210 264 270 296 314 356	1051011981348
SPT(16)	778528014631076531	0 2 12 38 42 50 72 78 170 176 198 206 210 236 246 248	1229669843142
STPT(10)	778528128980991017	0 2 30 32 72 74 114 116 144 146	1344019757628
SPT(18)	778528147690987847	0 24 26 54 60 66 96 102 116 150 164 170 200 206 212 240 242 266	1362729754458