Prime p₀= 1143587454983435309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 100 2 28 2 166 2 (?)
a_n: 0 2 12 14 72 74 78 80 180 182 210 212 378 380
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: 380
Found by: Putin Has a Small Dick
db: batch=76, k=14, 10 58 4 100 28 166

SPT(16)	1143585907826509657	0 6 30 34 60 100 126 130 156 160 186 226 252 256 280 286	-1547156925652
SPT(16)	1143586191140100791	0 32 62 90 98 140 158 168 212 222 240 282 290 318 348 380	-1263843334518
STPT(10)	1143587024251725971	0 2 30 32 78 80 126 128 156 158	-430731709338
STPT(10)	1143587091904767857	0 2 12 14 42 44 72 74 84 86	-363078667452
SPT(16)	1143587322601698311	0 2 12 42 80 108 150 168 182 200 242 270 308 338 348 350	-132381736998
SPT(16)	1143587421051019169	0 60 98 102 122 134 158 164 288 294 318 330 350 354 392 452	-33932416140
SPT(16)	1143587476048922389	0 58 60 84 88 144 160 168 220 228 244 300 304 328 330 388	21065487080
STPT(10)	1143588259454267327	0 2 30 32 42 44 54 56 84 86	804470832018
STPT(10)	1143588333316099511	0 2 36 38 78 80 120 122 156 158	878332664202
STPT(10)	1143588372517225931	0 2 6 8 18 20 30 32 36 38	917533790622
TPT(14)	1143588380184692261	0 2 78 80 120 122 138 140 150 152 198 200 210 212	925201256952