Prime p₀= 2395214641562603429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 58 2 28 2 64 2 22 2 (?)
a_n: 0 2 60 62 72 74 132 134 162 164 228 230 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 58 10 58 28 64 22

STPT(10)	2395213872461352557	0 2 24 26 42 44 60 62 84 86	-769101250872
STPT(10)	2395213963959448529	0 2 18 20 30 32 42 44 60 62	-677603154900
STPT(10)	2395214284210459331	0 2 6 8 48 50 90 92 96 98	-357352144098
SPT(16)	2395214366973843343	0 24 64 66 70 76 96 108 136 148 168 174 178 180 220 244	-274588760086
STPT(10)	2395214391784574411	0 2 6 8 18 20 30 32 36 38	-249778029018
SPT(16)	2395214426115035033	0 26 60 68 120 234 246 264 290 308 320 434 486 494 528 554	-215447568396
SPT(16)	2395214702324367263	0 74 96 120 134 176 186 228 236 278 288 330 344 368 390 464	60761763834
STPT(10)	2395215110575283609	0 2 18 20 30 32 42 44 60 62	469012680180
SPT(16)	2395215205030762669	0 18 148 162 190 198 202 210 220 228 232 240 268 282 412 430	563468159240
SPT(13)	2395215304710238039	0 54 60 78 120 138 144 150 168 210 228 234 288	663147634610
STPT(10)	2395215308976642179	0 2 18 20 30 32 42 44 60 62	667414038750