Prime p₀= 2779347772058404241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 28 2 10 2 28 2 (?)
a_n: 0 2 6 8 30 32 48 50 78 80 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=14, 4 22 16 28 10 28

SPT(16)	2779345441148241239	0 2 44 108 114 134 140 150 182 192 198 218 224 288 330 332	-2330910163002
SPT(16)	2779346154281075537	0 12 86 90 104 146 222 224 252 254 330 372 386 390 464 476	-1617777328704
TPT(14)	2779346665974076139	0 2 30 32 132 134 168 170 240 242 258 260 282 284	-1106084328102
SPT(16)	2779347085062707147	0 6 36 44 50 74 86 92 114 120 132 156 162 170 200 206	-686995697094
STPT(10)	2779347603787368569	0 2 42 44 90 92 138 140 180 182	-168271035672
SPT(16)	2779347634259501231	0 26 38 50 72 80 86 108 110 132 138 146 168 180 192 218	-137798903010
STPT(10)	2779347851701812437	0 2 54 56 72 74 90 92 144 146	79643408196
STPT(10)	2779347924592600631	0 2 6 8 48 50 90 92 96 98	152534196390
SPT(16)	2779348020312148609	0 60 78 88 112 120 154 174 268 288 322 330 354 364 382 442	248253744368
SPT(18)	2779348213815509647	0 16 24 70 154 174 190 210 216 220 226 246 262 282 366 412 420 436	441757105406
SPT(16)	2779348460162967139	0 18 82 90 102 130 132 174 208 250 252 280 292 300 364 382	688104562898