Prime p₀= 2959014188612532551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 46 2 40 2 34 2 118 2 (?)
a_n: 0 2 18 20 90 92 138 140 180 182 216 218 336 338
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: [SG-2W]Kurzer
db: batch=82, k=14, 16 70 46 40 34 118

STPT(10)	2959012326611122277	0 2 12 14 42 44 72 74 84 86	-1862001410274
SPT(16)	2959012440251472377	0 14 26 42 56 120 152 164 192 204 236 300 314 330 342 356	-1748361060174
SPT(16)	2959012677165150173	0 36 78 80 98 110 128 176 240 288 306 318 336 338 380 416	-1511447382378
SPT(16)	2959012888232510479	0 60 94 108 112 118 130 168 184 222 234 240 244 258 292 352	-1300380022072
SPT(16)	2959013662412030191	0 28 66 70 82 132 150 160 168 178 196 246 258 262 300 328	-526200502360
SPT(16)	2959013749266390637	0 12 22 30 64 70 90 120 286 316 336 342 376 384 394 406	-439346141914
STPT(10)	2959014254604106817	0 2 24 26 42 44 60 62 84 86	65991574266
STPT(10)	2959014390163714691	0 2 6 8 48 50 90 92 96 98	201551182140
SPT(16)	2959014483495114679	0 4 12 24 52 70 78 94 138 154 162 180 208 220 228 232	294882582128
STPT(10)	2959014648957508367	0 2 30 32 72 74 114 116 144 146	460344975816
TPT(14)	2959014914029293869	0 2 72 74 120 122 138 140 162 164 192 194 198 200	725416761318