Prime p₀= 1167354017793066281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 52 2 4 2 82 2 118 2 (?)
a_n: 0 2 6 8 36 38 90 92 96 98 180 182 300 302
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: 302
Found by: xii5ku
db: batch=77, k=14, 4 28 52 4 82 118

SPT(16)	1167352332161085883	0 4 40 66 70 178 204 228 256 280 306 414 418 444 480 484	-1685631980398
STPT(10)	1167352778924331689	0 2 18 20 30 32 42 44 60 62	-1238868734592
SPT(16)	1167353134050792089	0 18 48 60 78 92 102 120 170 188 198 212 230 242 272 290	-883742274192
STPT(10)	1167353743507212641	0 2 30 32 120 122 210 212 240 242	-274285853640
STPT(10)	1167353757762507737	0 2 42 44 102 104 162 164 204 206	-260030558544
SPT(18)	1167353894920295869	0 10 24 28 42 78 112 160 168 274 282 330 364 400 414 418 432 442	-122872770412
SPT(16)	1167354041643306817	0 24 40 46 60 72 82 100 126 144 154 166 180 186 202 226	23850240536
SPT(16)	1167354255566391829	0 34 48 58 60 112 144 154 258 268 300 352 354 364 378 412	237773325548
SPT(16)	1167354355948273319	0 2 72 98 138 140 170 180 182 192 222 224 264 290 360 362	338155207038
SPT(16)	1167354461655236719	0 30 40 42 130 132 154 172 210 228 250 252 340 342 352 382	443862170438
SPT(18)	1167354477414184261	0 12 28 76 126 138 160 168 192 196 220 228 250 262 312 360 376 388	459621117980