Prime p₀= 1576802613596684777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 4 2 22 2 16 2 46 2 (?)
a_n: 0 2 30 32 114 116 120 122 144 146 162 164 210 212
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: 212
Found by: xii5ku
db: batch=78, k=14, 28 82 4 22 16 46

SPT(16)	1576801990812901571	0 20 90 110 122 132 138 162 248 272 278 288 300 320 390 410	-622783783206
STPT(10)	1576802010762730637	0 2 30 32 72 74 114 116 144 146	-602833954140
STPT(10)	1576802041520516807	0 2 150 152 192 194 234 236 384 386	-572076167970
SPT(16)	1576802074111494851	0 8 18 60 66 108 140 168 218 246 278 320 326 368 378 386	-539485189926
STPT(10)	1576802306980877687	0 2 42 44 72 74 102 104 144 146	-306615807090
SPT(16)	1576802399706663559	0 24 28 72 78 100 108 114 148 154 162 184 190 234 238 262	-213890021218
STPT(10)	1576802859255471311	0 2 36 38 78 80 120 122 156 158	245658786534
TPT(14)	1576802989257970811	0 2 30 32 198 200 210 212 318 320 336 338 360 362	375661286034
SPT(16)	1576803231416501029	0 12 28 54 112 138 142 148 204 210 214 240 298 324 340 352	617819816252
SPT(16)	1576803297968058059	0 54 78 92 128 138 158 168 254 264 284 294 330 344 368 422	684371373282
TPT(16)	1576803889066075757	0 2 24 26 42 44 90 92 150 152 180 182 234 236 294 296	1275469390980