Prime p₀= 2263573129380772577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 16 2 28 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 102 104 132 134 144 146
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: 146
Found by: JayPi
db: batch=81, k=14, 28 28 22 16 28 10

TPT(14)	2263572103851986171	0 2 30 32 126 128 138 140 168 170 210 212 228 230	-1025528786406
STPT(10)	2263572422586503759	0 2 78 80 150 152 222 224 300 302	-706794268818
STPT(12)	2263572469064577101	0 2 30 32 60 62 168 170 198 200 228 230	-660316195476
SPT(16)	2263572538629150979	0 24 40 48 112 130 138 154 198 214 222 240 304 312 328 352	-590751621598
STPT(10)	2263572962016796217	0 2 60 62 72 74 84 86 144 146	-167363976360
SPT(16)	2263573025151171571	0 28 40 48 52 60 76 78 220 222 238 246 250 258 270 298	-104229601006
STPT(10)	2263573180689340979	0 2 18 20 30 32 42 44 60 62	51308568402
SPT(16)	2263573311644027527	0 16 30 36 42 82 102 112 174 184 204 244 250 256 270 286	182263254950
STPT(10)	2263573710346373627	0 2 42 44 72 74 102 104 144 146	580965601050
STPT(10)	2263573889474472941	0 2 36 38 78 80 120 122 156 158	760093700364
SPT(16)	2263574422561937483	0 8 26 38 56 98 108 120 164 176 186 228 246 258 276 284	1293181164906