Prime p₀= 2779346665974076139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 34 2 70 2 16 2 22 2 (?)
a_n: 0 2 30 32 132 134 168 170 240 242 258 260 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 28 100 34 70 16 22

SPT(16)	2779344675785545489	0 4 130 150 160 172 174 222 250 298 300 312 322 342 468 472	-1990188530650
STPT(10)	2779344968626496321	0 2 6 8 18 20 30 32 36 38	-1697347579818
STPT(10)	2779345286896138991	0 2 30 32 60 62 90 92 120 122	-1379077937148
SPT(16)	2779345357235664397	0 6 10 12 82 90 120 124 162 166 196 204 274 276 280 286	-1308738411742
SPT(16)	2779345441148241239	0 2 44 108 114 134 140 150 182 192 198 218 224 288 330 332	-1224825834900
SPT(16)	2779346154281075537	0 12 86 90 104 146 222 224 252 254 330 372 386 390 464 476	-511693000602
SPT(16)	2779347085062707147	0 6 36 44 50 74 86 92 114 120 132 156 162 170 200 206	419088631008
STPT(10)	2779347603787368569	0 2 42 44 90 92 138 140 180 182	937813292430
SPT(16)	2779347634259501231	0 26 38 50 72 80 86 108 110 132 138 146 168 180 192 218	968285425092
TPT(14)	2779347772058404241	0 2 6 8 30 32 48 50 78 80 90 92 120 122	1106084328102
STPT(10)	2779347851701812437	0 2 54 56 72 74 90 92 144 146	1185727736298