Prime p₀= 2507334875947624727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 10 2 10 2 58 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 114 116 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 28 10 46 10 10 58

SPT(16)	2507333514003768337	0 12 40 46 66 70 82 90 172 180 192 196 216 222 250 262	-1361943856390
STPT(10)	2507333637705567899	0 2 42 44 90 92 138 140 180 182	-1238242056828
STPT(10)	2507333949705307901	0 2 6 8 48 50 90 92 96 98	-926242316826
STPT(10)	2507334055236884129	0 2 12 14 90 92 168 170 180 182	-820710740598
STPT(10)	2507334094747563251	0 2 30 32 78 80 126 128 156 158	-781200061476
SPT(16)	2507334344211336841	0 66 90 132 136 166 172 178 210 216 222 252 256 298 322 388	-531736287886
STPT(10)	2507334964232161517	0 2 24 26 42 44 60 62 84 86	88284536790
TPT(14)	2507334979923979787	0 2 150 152 180 182 192 194 234 236 294 296 324 326	103976355060
STPT(10)	2507334996109533209	0 2 42 44 90 92 138 140 180 182	120161908482
STPT(10)	2507335017610248071	0 2 36 38 78 80 120 122 156 158	141662623344
SPT(16)	2507335056579395153	0 26 74 96 116 126 138 150 224 236 248 258 278 300 348 374	180631770426