Prime p₀= 2673014263023362051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 130 2 76 2 40 2 46 2 40 2 (?)
a_n: 0 2 78 80 210 212 288 290 330 332 378 380 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 76 130 76 40 46 40

STPT(10)	2673012178443989297	0 2 24 26 42 44 60 62 84 86	-2084579372754
SPT(16)	2673012245466332657	0 24 30 42 66 72 84 86 180 182 194 200 224 236 242 266	-2017557029394
SPT(16)	2673012553868256283	0 28 36 60 106 126 166 168 208 210 250 270 316 340 348 376	-1709155105768
SPT(16)	2673012568149218441	0 6 42 110 138 156 222 230 258 266 332 350 378 446 482 488	-1694874143610
SPT(16)	2673013735173035467	0 22 36 42 82 120 156 160 162 166 202 240 280 286 300 322	-527850326584
SPT(16)	2673014151279111179	0 8 38 42 78 92 102 152 168 218 228 242 278 282 312 320	-111744250872
SPT(16)	2673014593282941263	0 6 20 38 56 66 116 144 230 258 308 318 336 354 368 374	330259579212
SPT(16)	2673014950638428741	0 20 30 48 56 72 78 90 158 170 176 192 200 218 228 248	687615066690
STPT(10)	2673015486940298579	0 2 48 50 60 62 72 74 120 122	1223916936528
STPT(10)	2673015730531716299	0 2 78 80 120 122 162 164 240 242	1467508354248
SPT(16)	2673015873607136903	0 6 18 48 60 68 114 128 156 170 216 224 236 266 278 284	1610583774852