Prime p₀= 2170230900103262207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 130 2 4 2 22 2 16 2 (?)
a_n: 0 2 24 26 72 74 204 206 210 212 234 236 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 22 46 130 4 22 16

SPT(16)	2170230398420410967	0 2 26 42 60 102 110 156 266 312 320 362 380 396 420 422	-501682851240
STPT(10)	2170230476738759717	0 2 42 44 72 74 102 104 144 146	-423364502490
STPT(10)	2170230482429097371	0 2 6 8 48 50 90 92 96 98	-417674164836
SPT(16)	2170230670774111133	0 18 30 74 80 90 114 138 200 224 248 258 264 308 320 338	-229329151074
SPT(16)	2170230708277560637	0 90 114 120 126 174 190 192 244 246 262 310 316 322 346 436	-191825701570
STPT(10)	2170230813925013627	0 2 60 62 72 74 84 86 144 146	-86178248580
SPT(16)	2170230994385604253	0 6 10 46 48 78 120 126 130 136 178 208 210 246 250 256	94282342046
STPT(10)	2170231110628739339	0 2 18 20 30 32 42 44 60 62	210525477132
SPT(16)	2170231320600598081	0 30 46 58 88 100 106 112 156 162 168 180 210 222 238 268	420497335874
SPT(16)	2170231494790819403	0 20 56 66 104 116 144 146 168 170 198 210 248 258 294 314	594687557196
SPT(16)	2170231658226735671	0 12 18 50 68 98 110 150 170 210 222 252 270 302 308 320	758123473464