Prime p₀= 2165826315808882541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 22 2 16 2 130 2 34 2 (?)
a_n: 0 2 36 38 126 128 150 152 168 170 300 302 336 338
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: 338
Found by: fzs600
db: batch=81, k=14, 34 88 22 16 130 34

SPT(16)	2165825701787138843	0 20 50 78 86 126 140 144 170 174 188 228 236 264 294 314	-614021743698
SPT(16)	2165825757123897293	0 20 74 80 90 126 146 164 210 228 248 284 294 300 354 374	-558684985248
SPT(16)	2165825811552836957	0 12 30 62 72 104 110 182 222 294 300 332 342 374 392 404	-504256045584
STPT(10)	2165825812761704699	0 2 12 14 90 92 168 170 180 182	-503047177842
STPT(10)	2165825859121127657	0 2 24 26 42 44 60 62 84 86	-456687754884
SPT(13)	2165826124722798091	0 36 42 72 102 126 156 186 210 240 270 276 312	-191086084450
STPT(10)	2165826444639612149	0 2 48 50 90 92 132 134 180 182	128830729608
STPT(10)	2165826449902216487	0 2 12 14 42 44 72 74 84 86	134093333946
SPT(16)	2165826569281426477	0 6 12 34 40 52 70 82 84 96 114 126 132 154 160 166	253472543936
SPT(16)	2165827059288588323	0 18 56 60 68 134 138 140 144 146 150 216 224 228 266 284	743479705782
STPT(10)	2165827982949683807	0 2 42 44 72 74 102 104 144 146	1667140801266