Prime p₀= 2261554649049790067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 150 152 180 182 210 212 240 242 252 254
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: 254
Found by: JayPi
db: batch=81, k=14, 28 118 28 28 28 10

SPT(16)	2261552101236544861	0 30 52 78 90 106 112 150 208 246 252 268 280 306 328 358	-2547813245206
STPT(10)	2261552448608153819	0 2 18 20 30 32 42 44 60 62	-2200441636248
SPT(16)	2261552608340133671	0 2 50 62 92 132 146 156 182 192 206 246 276 288 336 338	-2040709656396
SPT(16)	2261553235013875697	0 6 20 24 42 104 122 140 156 174 192 254 272 276 290 296	-1414035914370
STPT(10)	2261553857111331161	0 2 36 38 78 80 120 122 156 158	-791938458906
STPT(10)	2261554460260016027	0 2 30 32 42 44 54 56 84 86	-188789774040
SPT(16)	2261554794923739473	0 30 110 114 126 144 156 200 264 308 320 338 350 354 434 464	145873949406
SPT(16)	2261555017320836101	0 18 28 40 90 96 112 118 210 216 232 238 288 300 310 328	368271046034
SPT(16)	2261555017531637911	0 40 42 48 58 118 160 168 172 180 222 282 292 298 300 340	368481847844
SPT(16)	2261555428495180567	0 22 36 84 96 142 162 166 210 214 234 280 292 340 354 376	779445390500
STPT(12)	2261555607590033681	0 2 66 68 108 110 168 170 210 212 276 278	958540243614