Prime p₀= 2732170195206128849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 34 2 58 2 28 2 40 2 (?)
a_n: 0 2 72 74 132 134 168 170 228 230 258 260 300 302
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: 302
Found by: Groo
db: batch=82, k=14, 70 58 34 58 28 40

SPT(16)	2732168900827938251	0 32 42 78 120 162 168 182 198 212 218 260 302 338 348 380	-1294378190598
TPT(14)	2732169022632869759	0 2 90 92 120 122 132 134 162 164 198 200 288 290	-1172573259090
STPT(10)	2732169323766453017	0 2 42 44 72 74 102 104 144 146	-871439675832
STPT(10)	2732169349851032711	0 2 6 8 48 50 90 92 96 98	-845355096138
SPT(16)	2732169737907550861	0 12 22 42 78 82 90 156 172 238 246 250 286 306 316 328	-457298577988
SPT(16)	2732170046360936257	0 60 72 84 90 126 130 136 150 156 160 196 202 214 226 286	-148845192592
SPT(16)	2732170599250545503	0 14 68 134 144 150 180 204 224 248 278 284 294 360 414 428	404044416654
SPT(16)	2732170777099602571	0 10 28 52 66 90 132 162 166 196 238 262 276 300 318 328	581893473722
STPT(10)	2732171375570627147	0 2 54 56 132 134 210 212 264 266	1180364498298
SPT(16)	2732171413742592971	0 2 30 36 48 62 90 102 146 158 186 200 212 218 246 248	1218536464122
SPT(16)	2732171425669938583	0 16 30 154 156 178 190 198 226 234 246 268 270 394 408 424	1230463809734