Prime p₀= 2687980491302917607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 148 2 28 2 40 2 (?)
a_n: 0 2 12 14 30 32 42 44 192 194 222 224 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 10 16 10 148 28 40

SPT(16)	2687979369992110231	0 16 30 42 48 60 118 162 196 240 298 310 316 328 342 358	-1121310807376
SPT(16)	2687979697054491923	0 14 44 48 66 68 96 98 156 158 186 188 206 210 240 254	-794248425684
SPT(16)	2687979722988223331	0 30 50 66 72 110 132 150 152 170 192 230 236 252 272 302	-768314694276
SPT(16)	2687979738328125863	0 6 18 20 30 68 110 138 146 174 216 254 264 266 278 284	-752974791744
SPT(16)	2687979979041441743	0 38 44 120 126 156 158 170 234 246 248 278 284 360 366 404	-512261475864
TPT(14)	2687980025754680351	0 2 48 50 60 62 126 128 156 158 210 212 396 398	-465548237256
TPT(14)	2687980590279063449	0 2 42 44 138 140 168 170 192 194 198 200 282 284	98976145842
SPT(16)	2687980983021123827	0 14 20 24 156 212 230 234 272 276 294 350 482 486 492 506	491718206220
SPT(16)	2687981649477070559	0 2 18 44 54 72 84 104 138 158 170 188 198 224 240 242	1158174152952
SPT(16)	2687981774782607021	0 12 36 42 50 80 96 98 120 122 138 168 176 182 206 218	1283479689414
STPT(10)	2687981790869533421	0 2 6 8 48 50 90 92 96 98	1299566615814