Prime p₀= 2364110970148405337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 40 2 28 2 64 2 22 2 (?)
a_n: 0 2 60 62 72 74 114 116 144 146 210 212 234 236
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, 58 10 40 28 64 22

SPT(16)	2364108794354595163	0 40 46 88 126 168 214 264 280 330 376 418 456 498 504 544	-2175793810174
SPT(16)	2364108997340611861	0 30 42 48 70 82 90 118 120 148 156 168 190 196 208 238	-1972807793476
STPT(10)	2364109292474886959	0 2 30 32 60 62 90 92 120 122	-1677673518378
STPT(10)	2364110264420961059	0 2 48 50 90 92 132 134 180 182	-705727444278
STPT(10)	2364110351962881461	0 2 30 32 60 62 90 92 120 122	-618185523876
STPT(10)	2364110731722133151	0 2 6 8 18 20 30 32 36 38	-238426272186
STPT(10)	2364111209770997717	0 2 30 32 60 62 90 92 120 122	239622592380
STPT(10)	2364111408050326937	0 2 30 32 60 62 90 92 120 122	437901921600
STPT(10)	2364111417714467747	0 2 42 44 72 74 102 104 144 146	447566062410
SPT(16)	2364111875095421453	0 30 36 120 126 150 164 186 308 330 344 368 374 458 464 494	904947016116
STPT(10)	2364112338247290641	0 2 90 92 108 110 126 128 216 218	1368098885304