Prime p₀= 2561258064402166931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 28 2 40 2 10 2 34 2 (?)
a_n: 0 2 18 20 96 98 126 128 168 170 180 182 216 218
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: 218
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 76 28 40 10 34

STPT(10)	2561257240572931721	0 2 6 8 18 20 30 32 36 38	-823829235210
SPT(16)	2561257259525697193	0 10 28 58 66 70 88 108 118 138 156 160 168 198 216 226	-804876469738
SPT(16)	2561257500307474681	0 12 40 70 72 82 108 118 150 160 186 196 198 228 256 268	-564094692250
TPT(14)	2561257722920209889	0 2 78 80 120 122 132 134 162 164 198 200 270 272	-341481957042
STPT(10)	2561258031645486947	0 2 54 56 72 74 90 92 144 146	-32756679984
STPT(10)	2561258045916964949	0 2 18 20 60 62 102 104 120 122	-18485201982
STPT(10)	2561258493520214867	0 2 30 32 42 44 54 56 84 86	429118047936
SPT(16)	2561258590048557713	0 26 66 96 98 146 150 174 200 224 228 276 278 308 348 374	525646390782
SPT(16)	2561258727910996693	0 60 76 90 118 126 130 196 240 306 310 318 346 360 376 436	663508829762
SPT(16)	2561258785149187589	0 50 72 110 138 140 168 218 222 272 300 302 330 368 390 440	720747020658
STPT(10)	2561258830789869797	0 2 30 32 72 74 114 116 144 146	766387702866