Prime p₀= 2119197418653400619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 82 2 46 2 100 2 (?)
a_n: 0 2 30 32 42 44 78 80 162 164 210 212 312 314
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: 314
Found by: Landjunge
db: batch=80, k=14, 28 10 34 82 46 100

SPT(13)	2119195974255420821	0 90 96 102 180 210 216 222 252 330 336 342 432	-1444397979798
SPT(16)	2119196003778410339	0 14 80 84 90 158 168 180 242 254 264 332 338 342 408 422	-1414874990280
SPT(16)	2119196175596004763	0 4 18 24 48 70 118 124 144 150 198 220 244 250 264 268	-1243057395856
SPT(16)	2119196501834455387	0 12 36 66 114 130 144 186 190 232 246 262 310 340 364 376	-916818945232
SPT(16)	2119197013472528551	0 16 28 66 90 112 118 150 178 210 216 238 262 300 312 328	-405180872068
SPT(16)	2119197312537119869	0 10 70 82 88 112 178 190 192 204 270 294 300 312 372 382	-106116280750
STPT(10)	2119198127628448421	0 2 36 38 78 80 120 122 156 158	708975047802
SPT(16)	2119198685551435979	0 18 84 108 110 150 228 264 338 374 452 492 494 518 584 602	1266898035360
SPT(16)	2119198689233181041	0 2 26 48 98 126 180 206 222 248 302 330 380 402 426 428	1270579780422
SPT(16)	2119199779729922419	0 28 40 70 78 82 84 88 144 148 150 154 162 192 204 232	2361076521800
STPT(10)	2119199855355743009	0 2 48 50 90 92 132 134 180 182	2436702342390