Prime p₀= 726257580536004131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 28 2 16 2 10 2 10 2 (?)
a_n: 0 2 96 98 108 110 138 140 156 158 168 170 180 182
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: 182
Found by: [SG]steini
db: batch=73, k=14, 94 10 28 16 10 10

SPT(16)	726256767094110713	0 6 30 68 86 128 174 200 264 290 336 378 396 434 458 464	-813441893418
STPT(10)	726256974262063217	0 2 30 32 42 44 54 56 84 86	-606273940914
STPT(10)	726257167712564351	0 2 78 80 108 110 138 140 216 218	-412823439780
SPT(16)	726257176318456637	0 12 30 32 56 116 126 144 152 170 180 240 264 266 284 296	-404217547494
TPT(14)	726257343869841137	0 2 12 14 30 32 54 56 72 74 132 134 144 146	-236666162994
SPT(16)	726257401496579143	0 28 70 90 100 118 144 174 214 244 270 288 298 318 360 388	-179039424988
SPT(16)	726257747966098003	0 18 28 60 66 94 96 106 108 118 120 148 154 186 196 214	167430093872
SPT(16)	726258077929732561	0 16 30 108 132 142 160 208 210 258 276 286 310 388 402 418	497393728430
STPT(10)	726258243764751947	0 2 12 14 42 44 72 74 84 86	663228747816
STPT(10)	726258256002486479	0 2 18 20 30 32 42 44 60 62	675466482348
STPT(10)	726258442205428961	0 2 6 8 48 50 90 92 96 98	861669424830