Prime p₀= 2406778264495669577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 70 2 10 2 16 2 (?)
a_n: 0 2 30 32 42 44 60 62 132 134 144 146 162 164
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: 164
Found by: JayPi
db: batch=82, k=14, 28 10 16 70 10 16

SPT(16)	2406777102607970167	0 22 52 64 66 162 210 214 252 256 304 400 402 414 444 466	-1161887699410
SPT(16)	2406777313538614799	0 14 24 32 170 180 188 198 224 234 242 252 390 398 408 422	-950957054778
STPT(10)	2406777494728490237	0 2 12 14 72 74 132 134 144 146	-769767179340
SPT(16)	2406777750966508861	0 6 12 36 40 42 78 138 190 250 286 288 292 316 322 328	-513529160716
TPT(14)	2406778010303450039	0 2 12 14 48 50 102 104 168 170 180 182 240 242	-254192219538
SPT(16)	2406778195603109131	0 6 18 30 88 136 156 160 168 172 192 240 298 310 322 328	-68892560446
STPT(10)	2406778840903700111	0 2 36 38 78 80 120 122 156 158	576408030534
SPT(16)	2406778898810838791	0 18 26 38 78 92 96 98 120 122 126 140 180 192 200 218	634315169214
STPT(10)	2406779160737022749	0 2 18 20 30 32 42 44 60 62	896241353172
STPT(10)	2406779568901903607	0 2 24 26 42 44 60 62 84 86	1304406234030
STPT(10)	2406779635750480577	0 2 30 32 72 74 114 116 144 146	1371254811000