Prime p₀= 2099448173180589521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 58 2 28 2 10 2 (?)
a_n: 0 2 6 8 36 38 78 80 138 140 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=14, 4 28 40 58 28 10

SPT(16)	2099446291060866721	0 10 42 52 58 72 96 100 108 112 136 150 156 166 198 208	-1882119722800
SPT(16)	2099446687546229093	0 14 66 86 98 128 146 168 206 228 246 276 288 308 360 374	-1485634360428
SPT(16)	2099447273434367957	0 2 6 44 50 60 62 80 126 144 146 156 162 200 204 206	-899746221564
SPT(16)	2099447406484484767	0 34 60 64 112 120 132 142 144 154 166 174 222 226 252 286	-766696104754
SPT(16)	2099447975475597421	0 52 78 90 108 112 132 178 180 226 246 250 268 280 306 358	-197704992100
STPT(10)	2099448003641637149	0 2 42 44 90 92 138 140 180 182	-169538952372
SPT(16)	2099448206737201031	0 48 110 132 158 188 246 270 308 332 390 420 446 468 530 578	33556611510
SPT(18)	2099448264584909383	0 34 36 48 54 66 190 270 286 348 364 444 568 580 586 598 600 634	91404319862
TPT(14)	2099448857493850769	0 2 12 14 90 92 282 284 348 350 408 410 558 560	684313261248
STPT(10)	2099449331148148781	0 2 6 8 48 50 90 92 96 98	1157967559260
SPT(16)	2099449456911216623	0 14 66 68 78 80 96 134 180 218 234 236 246 248 300 314	1283730627102