Prime p₀= 2921321205676494527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 70 2 34 2 28 2 40 2 (?)
a_n: 0 2 30 32 102 104 174 176 210 212 240 242 282 284
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: 284
Found by: Landjunge
db: batch=82, k=14, 28 70 70 34 28 40

SPT(16)	2921318262537280877	0 14 56 90 164 174 194 200 216 222 242 252 326 360 402 416	-2943139213650
TPT(14)	2921318518204353149	0 2 78 80 150 152 198 200 210 212 240 242 288 290	-2687472141378
SPT(16)	2921319275213330237	0 2 74 80 96 140 156 176 270 290 306 350 366 372 444 446	-1930463164290
SPT(16)	2921319358796000027	0 20 42 54 90 104 120 140 144 164 180 194 230 242 264 284	-1846880494500
STPT(10)	2921319948678949787	0 2 54 56 72 74 90 92 144 146	-1256997544740
SPT(16)	2921321045706239051	0 30 66 170 182 198 210 222 236 248 260 276 288 392 428 458	-159970255476
SPT(16)	2921321422162270321	0 22 42 46 82 112 120 148 150 178 186 216 252 256 276 298	216485775794
SPT(16)	2921321422622342449	0 12 22 34 54 64 90 100 132 142 168 178 198 210 220 232	216945847922
STPT(10)	2921321791069007867	0 2 30 32 72 74 114 116 144 146	585392513340
SPT(16)	2921322339511673543	0 6 36 66 120 140 176 200 294 318 354 374 428 458 488 494	1133835179016
TPT(14)	2921322676446510419	0 2 270 272 282 284 348 350 360 362 378 380 420 422	1470770015892