Prime p₀= 2161036500920123927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 94 2 28 2 28 2 10 2 (?)
a_n: 0 2 42 44 144 146 240 242 270 272 300 302 312 314
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: Landjunge
db: batch=81, k=14, 40 100 94 28 28 10

SPT(16)	2161034700969159229	0 70 100 102 112 162 168 172 180 184 190 240 250 252 282 352	-1799950964698
SPT(16)	2161034750213257453	0 6 16 94 118 184 204 210 274 280 300 366 390 468 478 484	-1750706866474
TPT(14)	2161035229719091961	0 2 6 8 30 32 48 50 138 140 186 188 210 212	-1271201031966
SPT(16)	2161035372417641857	0 30 36 40 82 124 244 246 250 252 372 414 456 460 466 496	-1128502482070
SPT(16)	2161035863673302197	0 30 60 64 124 142 154 184 192 222 234 252 312 316 346 376	-637246821730
STPT(10)	2161036416887624291	0 2 30 32 138 140 246 248 276 278	-84032499636
STPT(10)	2161036651211075147	0 2 42 44 72 74 102 104 144 146	150290951220
SPT(16)	2161037156872800449	0 38 48 60 74 80 104 110 138 144 168 174 188 200 210 248	655952676522
STPT(10)	2161037269136910347	0 2 30 32 42 44 54 56 84 86	768216786420
STPT(10)	2161037756428803149	0 2 42 44 60 62 78 80 120 122	1255508679222
SPT(16)	2161037832427235227	0 6 16 22 42 46 72 90 112 130 156 160 180 186 196 202	1331507111300