Prime p₀= 219588462660371897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 106 2 52 2 28 2 28 2 (?)
a_n: 0 2 24 26 72 74 180 182 234 236 264 266 294 296
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: 296
Found by: scrap
db: batch=69, k=14, 22 46 106 52 28 28

SPT(14)	219588412582647109	0 24 60 112 172 178 192 250 264 270 330 382 418 442	-50077724788
SPT(14)	219588428136379633	0 16 28 48 64 70 78 226 234 240 256 276 288 304	-34523992264
SPT(14)	219588441592331029	0 18 30 60 84 102 138 154 190 208 232 262 274 292	-21068040868
SPT(14)	219588443816996629	0 12 34 40 60 90 100 114 124 154 174 180 202 214	-18843375268
SPT(14)	219588446164289437	0 4 54 70 72 96 100 156 160 184 186 202 252 256	-16496082460
SPT(16)	219588450000452891	0 18 30 68 72 78 120 122 156 158 200 206 210 248 260 278	-12659919006
TPT(12)	219588484947281561	0 2 66 68 126 128 168 170 210 212 270 272	22286909664
STPT(10)	219588484947281627	0 2 60 62 102 104 144 146 204 206	22286909730
SPT(14)	219588493208596697	0 20 50 54 96 110 162 194 246 260 302 306 336 356	30548224800
SPT(14)	219588499757720377	0 4 36 100 102 142 154 162 174 214 216 280 312 316	37097348480
SPT(14)	219588511997386733	0 18 36 50 108 186 216 278 308 386 444 458 476 494	49337014836