Prime p₀= 2039130649178272577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 16 2 52 2 28 2 (?)
a_n: 0 2 42 44 54 56 72 74 90 92 144 146 174 176
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: 176
Found by: Landjunge
db: batch=80, k=14, 40 10 16 16 52 28

SPT(16)	2039129390837086283	0 36 54 60 120 138 156 186 218 248 266 284 344 350 368 404	-1258341186294
SPT(16)	2039129904585361963	0 6 34 70 78 96 154 166 168 180 238 256 264 300 328 334	-744592910614
STPT(10)	2039130072767372909	0 2 42 44 60 62 78 80 120 122	-576410899668
STPT(10)	2039130177716592869	0 2 18 20 30 32 42 44 60 62	-471461679708
STPT(10)	2039130265538290751	0 2 30 32 78 80 126 128 156 158	-383639981826
SPT(16)	2039130588248225827	0 12 36 40 132 144 166 174 202 210 232 244 336 340 364 376	-60930046750
STPT(10)	2039130937981094051	0 2 6 8 48 50 90 92 96 98	288802821474
SPT(16)	2039131308615986071	0 6 42 90 100 102 130 138 160 168 196 198 208 256 292 298	659437713494
STPT(10)	2039131546745581817	0 2 12 14 42 44 72 74 84 86	897567309240
SPT(16)	2039131748686611563	0 50 56 96 110 138 140 158 186 204 206 234 248 288 294 344	1099508338986
STPT(10)	2039131829370774947	0 2 12 14 42 44 72 74 84 86	1180192502370