Prime p₀= 2565871792423999667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 34 2 40 2 10 2 64 2 (?)
a_n: 0 2 12 14 24 26 60 62 102 104 114 116 180 182
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: 182
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 10 34 40 10 64

SPT(16)	2565871281152647541	0 8 30 42 66 78 80 108 140 168 170 182 206 218 240 248	-511271352126
STPT(10)	2565871390471069589	0 2 18 20 30 32 42 44 60 62	-401952930078
TPT(14)	2565871513473527447	0 2 12 14 42 44 60 62 84 86 102 104 114 116	-278950472220
STPT(10)	2565871647887172797	0 2 42 44 72 74 102 104 144 146	-144536826870
STPT(10)	2565871713434692499	0 2 12 14 90 92 168 170 180 182	-78989307168
SPT(16)	2565871772465011763	0 18 20 44 56 60 98 104 180 186 224 228 240 264 266 284	-19958987904
SPT(16)	2565871983768389267	0 2 20 56 72 80 86 96 116 126 132 140 156 192 210 212	191344389600
STPT(10)	2565872527246150007	0 2 12 14 42 44 72 74 84 86	734822150340
SPT(16)	2565872958370201993	0 10 34 58 66 76 88 118 126 156 168 178 186 210 234 244	1165946202326
STPT(10)	2565873079314880859	0 2 18 20 30 32 42 44 60 62	1286890881192
SPT(16)	2565873194649797387	0 6 26 36 42 80 92 104 222 234 246 284 290 300 320 326	1402225797720