Prime p₀= 1120894246001340689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 34 2 88 2 22 2 16 2 (?)
a_n: 0 2 48 50 132 134 168 170 258 260 282 284 300 302
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: 302
Found by: vinn@[CNT]
db: batch=76, k=14, 46 82 34 88 22 16

SPT(16)	1120892774671962749	0 2 42 44 48 72 114 122 150 158 200 224 228 230 270 272	-1471329377940
SPT(16)	1120893190527907939	0 10 18 28 52 64 84 120 202 238 258 270 294 304 312 322	-1055473432750
SPT(16)	1120893408220165981	0 10 16 78 88 100 112 252 256 396 408 420 430 492 498 508	-837781174708
SPT(16)	1120893738855452059	0 4 54 60 112 114 142 154 168 180 208 210 262 268 318 322	-507145888630
STPT(10)	1120894022838739151	0 2 30 32 60 62 90 92 120 122	-223162601538
STPT(10)	1120894091942983901	0 2 6 8 48 50 90 92 96 98	-154058356788
SPT(18)	1120894469980121611	0 12 42 78 88 108 118 132 136 162 166 180 190 210 220 256 286 298	223978780922
SPT(16)	1120894741513001603	0 26 44 68 74 84 96 126 128 158 170 180 186 210 228 254	495511660914
SPT(16)	1120894974727619999	0 24 42 48 68 134 140 162 290 312 318 384 404 410 428 452	728726279310
STPT(10)	1120895003889316169	0 2 42 44 90 92 138 140 180 182	757887975480
STPT(10)	1120895063563525277	0 2 30 32 42 44 54 56 84 86	817562184588