Prime p₀= 2160494926136957117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 10 2 136 2 28 2 22 2 (?)
a_n: 0 2 24 26 30 32 42 44 180 182 210 212 234 236
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: 236
Found by: Landjunge
db: batch=81, k=14, 22 4 10 136 28 22

SPT(16)	2160492822190157401	0 18 42 88 130 150 160 192 196 228 238 258 300 346 370 388	-2103946799716
STPT(10)	2160492907107221129	0 2 42 44 60 62 78 80 120 122	-2019029735988
SPT(16)	2160492978379608827	0 44 50 62 80 84 126 132 164 170 212 216 234 246 252 296	-1947757348290
SPT(16)	2160493294958215741	0 10 16 88 130 198 238 252 286 300 340 408 450 522 528 538	-1631178741376
STPT(10)	2160493804858346057	0 2 42 44 72 74 102 104 144 146	-1121278611060
TPT(14)	2160494388524920031	0 2 78 80 126 128 138 140 210 212 216 218 258 260	-537612037086
STPT(10)	2160494944281641291	0 2 30 32 78 80 126 128 156 158	18144684174
STPT(10)	2160495233649365939	0 2 18 20 30 32 42 44 60 62	307512408822
TPT(14)	2160495267172442381	0 2 18 20 30 32 126 128 150 152 156 158 186 188	341035485264
STPT(10)	2160495428240941457	0 2 12 14 42 44 72 74 84 86	502103984340
SPT(16)	2160496066383589433	0 30 38 74 78 108 114 126 158 170 176 206 210 246 254 284	1140246632316