Prime p₀= 725390166474416099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 106 2 46 2 40 2 (?)
a_n: 0 2 18 20 42 44 72 74 180 182 228 230 270 272
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: 272
Found by: jozef j
db: batch=73, k=14, 16 22 28 106 46 40

SPT(16)	725388431760341771	0 38 80 90 92 126 140 168 170 198 212 246 248 258 300 338	-1734714074328
SPT(16)	725388604611220117	0 66 72 102 106 240 252 322 354 424 436 570 574 604 610 676	-1561863195982
TPT(14)	725388740170646987	0 2 12 14 114 116 162 164 204 206 222 224 360 362	-1426303769112
STPT(10)	725388926043586109	0 2 48 50 90 92 132 134 180 182	-1240430829990
STPT(10)	725389487124902177	0 2 30 32 42 44 54 56 84 86	-679349513922
STPT(10)	725389796510307869	0 2 48 50 90 92 132 134 180 182	-369964108230
STPT(10)	725390583983135027	0 2 60 62 72 74 84 86 144 146	417508718928
STPT(10)	725390590350102401	0 2 6 8 48 50 90 92 96 98	423875686302
SPT(16)	725390836008542153	0 48 86 98 114 146 168 204 260 296 318 350 366 378 416 464	669534126054
SPT(16)	725391471850831157	0 32 50 54 56 60 72 86 210 224 236 240 242 246 264 296	1305376415058
SPT(16)	725391653487634541	0 2 36 62 90 92 102 140 162 200 210 212 240 266 300 302	1487013218442