Prime p₀= 1689782166254130497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 46 2 16 2 70 2 10 2 (?)
a_n: 0 2 24 26 84 86 132 134 150 152 222 224 234 236
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: 236
Found by: Vato
db: batch=79, k=14, 22 58 46 16 70 10

SPT(16)	1689781024161106073	0 30 86 98 108 228 246 266 270 290 308 428 438 450 506 536	-1142093024424
TPT(14)	1689781141095821507	0 2 24 26 54 56 84 86 222 224 282 284 354 356	-1025158308990
SPT(16)	1689781513684391243	0 6 20 36 48 50 90 114 200 224 264 266 278 294 308 314	-652569739254
STPT(10)	1689781683443803811	0 2 36 38 78 80 120 122 156 158	-482810326686
SPT(20)	1689781845049613243	0 36 38 56 68 80 120 174 234 236 258 260 320 374 414 426 438 456 458 494	-321204517254
STPT(10)	1689781928533647587	0 2 60 62 72 74 84 86 144 146	-237720482910
STPT(10)	1689782481520946777	0 2 30 32 42 44 54 56 84 86	315266816280
SPT(16)	1689782549921943091	0 46 60 82 130 142 180 196 252 268 306 318 366 388 402 448	383667812594
SPT(16)	1689782693748827429	0 8 30 68 78 114 152 162 170 180 218 254 264 302 324 332	527494696932
SPT(16)	1689782773362659687	0 20 90 134 140 144 162 174 230 242 260 264 270 314 384 404	607108529190
SPT(16)	1689782826676911097	0 46 66 70 126 130 154 222 244 312 336 340 396 400 420 466	660422780600