Prime p₀= 1930339924243799609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 58 2 4 2 100 2 70 2 (?)
a_n: 0 2 48 50 102 104 162 164 168 170 270 272 342 344
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: 344
Found by: Landjunge
db: batch=80, k=14, 46 52 58 4 100 70

SPT(16)	1930338692222622301	0 16 22 42 70 78 90 126 412 448 460 468 496 516 522 538	-1232021177308
SPT(16)	1930338862719253807	0 36 42 46 60 84 100 126 130 156 172 196 210 214 220 256	-1061524545802
SPT(16)	1930339280078171449	0 4 18 42 60 90 142 174 238 270 322 352 370 394 408 412	-644165628160
STPT(10)	1930339380187803437	0 2 30 32 72 74 114 116 144 146	-544055996172
SPT(20)	1930339647769552541	0 12 26 56 78 98 132 168 170 176 222 228 230 266 300 320 342 372 386 398	-276474247068
STPT(10)	1930339797755795519	0 2 42 44 120 122 198 200 240 242	-126488004090
STPT(10)	1930340062205534867	0 2 30 32 42 44 54 56 84 86	137961735258
SPT(16)	1930340248896062681	0 2 6 32 80 90 116 132 140 156 182 192 240 266 270 272	324652263072
STPT(10)	1930340557004089187	0 2 24 26 42 44 60 62 84 86	632760289578
TPT(14)	1930340612283083069	0 2 12 14 18 20 60 62 108 110 168 170 240 242	688039283460
STPT(10)	1930340842811421461	0 2 36 38 78 80 120 122 156 158	918567621852