Prime p₀= 1033461887674466021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 4 2 58 2 58 2 10 2 (?)
a_n: 0 2 78 80 120 122 126 128 186 188 246 248 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 76 40 4 58 58 10

STPT(10)	1033460634229311287	0 2 24 26 42 44 60 62 84 86	-1253445154734
SPT(16)	1033461211463580941	0 6 20 62 98 108 150 152 186 188 230 240 276 318 332 338	-676210885080
SPT(16)	1033461689841328001	0 42 60 62 86 90 116 170 228 282 308 312 336 338 356 398	-197833138020
SPT(18)	1033461712190941207	0 6 30 54 70 76 102 172 186 250 264 334 360 366 382 406 430 436	-175483524814
STPT(10)	1033461757203415019	0 2 18 20 30 32 42 44 60 62	-130471051002
STPT(10)	1033461851032388759	0 2 42 44 60 62 78 80 120 122	-36642077262
SPT(16)	1033462074602718713	0 14 66 78 108 120 128 170 234 276 284 296 326 338 390 404	186928252692
STPT(10)	1033462677952199777	0 2 60 62 72 74 84 86 144 146	790277733756
SPT(16)	1033463320303751377	0 6 40 42 82 102 130 154 192 216 244 264 304 306 340 346	1432629285356
SPT(16)	1033463478812971133	0 6 20 26 56 98 104 110 114 120 126 168 198 204 218 224	1591138505112
SPT(16)	1033464206621039899	0 82 90 102 118 124 144 184 198 238 258 264 280 292 300 382	2318946573878