Prime p₀= 2049904394160095621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 28 2 10 2 28 2 16 2 (?)
a_n: 0 2 36 38 78 80 108 110 120 122 150 152 168 170
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: 170
Found by: Landjunge
db: batch=80, k=14, 34 40 28 10 28 16

STPT(10)	2049902973718364927	0 2 30 32 42 44 54 56 84 86	-1420441730694
STPT(10)	2049903233165784551	0 2 36 38 78 80 120 122 156 158	-1160994311070
STPT(10)	2049903410478275237	0 2 30 32 42 44 54 56 84 86	-983681820384
SPT(16)	2049903446491725619	0 12 34 42 70 72 90 172 240 322 340 342 370 378 400 412	-947668370002
STPT(10)	2049903876816249821	0 2 6 8 48 50 90 92 96 98	-517343845800
TPT(14)	2049903952975405661	0 2 120 122 138 140 180 182 198 200 210 212 246 248	-441184689960
STPT(10)	2049904516729103777	0 2 12 14 42 44 72 74 84 86	122569008156
STPT(10)	2049904960681009139	0 2 78 80 120 122 162 164 240 242	566520913518
STPT(10)	2049905243380156871	0 2 36 38 78 80 120 122 156 158	849220061250
SPT(16)	2049905489745438389	0 42 44 180 194 198 224 270 362 408 434 438 452 588 590 632	1095585342768
STPT(10)	2049905576506980947	0 2 42 44 72 74 102 104 144 146	1182346885326