Prime p₀= 1968723070684696517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 22 2 94 2 10 2 16 2 (?)
a_n: 0 2 42 44 120 122 144 146 240 242 252 254 270 272
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: JohnMD
db: batch=80, k=14, 40 76 22 94 10 16

SPT(16)	1968722258659011407	0 14 24 74 80 102 122 126 140 144 164 186 192 242 252 266	-812025685110
STPT(10)	1968722329673002217	0 2 30 32 42 44 54 56 84 86	-741011694300
SPT(16)	1968722532482577877	0 64 102 106 120 136 144 154 162 172 180 196 210 214 252 316	-538202118640
STPT(12)	1968722702981357441	0 2 18 20 60 62 96 98 138 140 156 158	-367703339076
SPT(16)	1968722849845440671	0 36 48 56 78 108 132 188 210 266 290 320 342 350 362 398	-220839255846
SPT(16)	1968722924323629151	0 30 42 100 132 156 196 220 318 342 382 406 438 496 508 538	-146361067366
STPT(10)	1968723431804016071	0 2 30 32 60 62 90 92 120 122	361119319554
SPT(16)	1968723511123029461	0 12 48 80 98 108 110 128 132 150 152 162 180 212 248 260	440438332944
SPT(16)	1968723888279195787	0 82 90 120 124 132 160 204 262 306 334 342 346 376 384 466	817594499270
SPT(16)	1968723890024806063	0 10 48 66 88 94 120 168 196 244 270 276 298 316 354 364	819340109546
SPT(16)	1968724348933217923	0 6 34 36 64 76 90 130 150 190 204 216 244 246 274 280	1278248521406