Prime p₀= 829236571737124127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 28 2 10 2 16 2 40 2 (?)
a_n: 0 2 54 56 90 92 120 122 132 134 150 152 192 194
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: 194
Found by: Phoenix48
db: batch=73, k=14, 52 34 28 10 16 40

SPT(16)	829234250476872503	0 20 30 44 48 54 90 96 128 134 170 176 180 194 204 224	-2321260251624
TPT(14)	829234430532622529	0 2 18 20 60 62 132 134 240 242 270 272 288 290	-2141204501598
STPT(10)	829234509298941827	0 2 54 56 72 74 90 92 144 146	-2062438182300
SPT(16)	829235369131785097	0 4 30 82 100 114 124 154 240 270 280 294 312 364 390 394	-1202605339030
STPT(10)	829236016191439859	0 2 30 32 60 62 90 92 120 122	-555545684268
SPT(16)	829236158722077451	0 48 78 90 112 118 126 156 232 262 270 276 298 310 340 388	-413015046676
STPT(10)	829236929198531339	0 2 12 14 90 92 168 170 180 182	357461407212
SPT(16)	829237050324987127	0 102 120 174 244 252 262 270 304 312 322 330 400 454 472 574	478587863000
SPT(16)	829237268679244123	0 4 34 40 66 88 118 144 160 186 216 238 264 270 300 304	696942119996
STPT(10)	829237578844054979	0 2 18 20 30 32 42 44 60 62	1007106930852
STPT(10)	829237819332496331	0 2 6 8 18 20 30 32 36 38	1247595372204