Prime p₀= 2245645181952361037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 28 2 64 2 58 2 58 2 10 2 (?)
a_n: 0 2 114 116 144 146 210 212 270 272 330 332 342 344
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: 344
Found by: Orange Kid
db: batch=81, k=14, 112 28 64 58 58 10

SPT(13)	2245644340947373453	0 24 36 66 90 114 120 126 150 174 204 216 240	-841004987584
SPT(16)	2245644479539440557	0 12 56 62 132 144 152 156 200 204 212 224 294 300 344 356	-702412920480
SPT(16)	2245644782687830441	0 12 36 46 58 82 88 100 108 120 126 150 162 172 196 208	-399264530596
STPT(10)	2245644928599280259	0 2 42 44 60 62 78 80 120 122	-253353080778
STPT(10)	2245645020239008151	0 2 30 32 78 80 126 128 156 158	-161713352886
STPT(10)	2245645151413372901	0 2 90 92 108 110 126 128 216 218	-30538988136
SPT(16)	2245645363483115203	0 10 30 114 124 154 156 166 168 178 180 210 220 304 324 334	181530754166
STPT(10)	2245645481983381529	0 2 18 20 30 32 42 44 60 62	300031020492
STPT(10)	2245645973318636069	0 2 18 20 30 32 42 44 60 62	791366275032
SPT(16)	2245646031106949773	0 4 16 30 46 70 78 84 130 136 144 168 184 198 210 214	849154588736
SPT(16)	2245646104115240839	0 12 34 60 90 124 130 132 160 162 168 202 232 258 280 292	922162879802