Prime p₀= 2525808818296527821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 58 2 22 2 4 2 40 2 (?)
a_n: 0 2 30 32 36 38 96 98 120 122 126 128 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 4 58 22 4 40

TPT(14)	2525806418419475141	0 2 108 110 156 158 198 200 210 212 228 230 306 308	-2399877052680
STPT(10)	2525807561219836097	0 2 12 14 42 44 72 74 84 86	-1257076691724
STPT(10)	2525807572483088951	0 2 36 38 78 80 120 122 156 158	-1245813438870
STPT(10)	2525807608970317277	0 2 12 14 72 74 132 134 144 146	-1209326210544
SPT(16)	2525808154536924541	0 12 30 60 70 78 88 126 142 180 190 198 208 238 256 268	-663759603280
STPT(10)	2525808224282273759	0 2 12 14 90 92 168 170 180 182	-594014254062
STPT(10)	2525809025820857669	0 2 12 14 90 92 168 170 180 182	207524329848
SPT(16)	2525809306053793433	0 44 56 78 108 114 174 204 260 290 350 356 386 408 420 464	487757265612
SPT(16)	2525809669703129233	0 6 30 34 78 90 118 120 154 156 184 196 240 244 268 274	851406601412
SPT(16)	2525809919514136237	0 12 54 76 82 100 132 154 222 244 276 294 300 322 364 376	1101217608416
SPT(16)	2525810623507320067	0 22 46 114 174 216 244 256 300 312 340 382 442 510 534 556	1805210792246