Prime p₀= 725732127189915479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 10 2 58 2 4 2 (?)
a_n: 0 2 12 14 30 32 60 62 72 74 132 134 138 140
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: 140
Found by: CThiede
db: batch=73, k=14, 10 16 28 10 58 4

SPT(16)	725731665401162983	0 6 28 40 76 84 136 166 288 318 370 378 414 426 448 454	-461788752496
SPT(16)	725731696009523221	0 28 46 72 76 78 118 120 208 210 250 252 256 282 300 328	-431180392258
STPT(10)	725731751242307177	0 2 30 32 42 44 54 56 84 86	-375947608302
STPT(10)	725731776970602299	0 2 18 20 30 32 42 44 60 62	-350219313180
SPT(16)	725731930993334081	0 38 60 68 90 102 126 152 216 242 266 278 300 308 330 368	-196196581398
SPT(16)	725731931968743229	0 28 40 84 148 178 214 244 264 294 330 360 424 468 480 508	-195221172250
SPT(16)	725732375887122343	0 4 54 64 70 76 78 148 186 256 258 264 270 280 330 334	248697206864
SPT(16)	725732757126575299	0 10 28 48 54 78 90 100 132 142 154 178 184 204 222 232	629936659820
STPT(10)	725732970571425767	0 2 30 32 42 44 54 56 84 86	843381510288
STPT(10)	725733863827198781	0 2 36 38 78 80 120 122 156 158	1736637283302
SPT(20)	725733890409431909	0 12 20 24 104 110 188 194 200 218 234 252 258 264 342 348 428 432 440 452	1763219516430