Prime p₀= 2189586601163779799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 16 2 46 2 82 2 28 2 28 2 (?)
a_n: 0 2 102 104 120 122 168 170 252 254 282 284 312 314
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: 314
Found by: [SG-FC] hl
db: batch=81, k=14, 100 16 46 82 28 28

SPT(16)	2189585520509128493	0 24 44 48 50 134 138 170 258 290 294 378 380 384 404 428	-1080654651306
STPT(10)	2189585780225197769	0 2 48 50 60 62 72 74 120 122	-820938582030
SPT(16)	2189585797529297483	0 24 54 56 86 108 144 156 248 260 296 318 348 350 380 404	-803634482316
STPT(10)	2189585930930936537	0 2 24 26 42 44 60 62 84 86	-670232843262
SPT(16)	2189586142299057143	0 14 36 38 48 56 90 110 204 224 258 266 276 278 300 314	-458864722656
SPT(16)	2189586307566319819	0 28 40 58 70 150 154 178 180 204 208 288 300 318 330 358	-293597459980
STPT(10)	2189586655108498697	0 2 84 86 102 104 120 122 204 206	53944718898
SPT(16)	2189586927154072177	0 40 90 112 162 184 190 222 232 264 270 292 342 364 414 454	325990292378
SPT(16)	2189587284742577717	0 12 44 54 56 72 90 144 182 236 254 270 272 282 314 326	683578797918
SPT(16)	2189587594546374691	0 30 42 70 78 120 132 160 168 196 208 250 258 286 298 328	993382594892
TPT(14)	2189587643930440511	0 2 6 8 18 20 60 62 168 170 216 218 288 290	1042766660712