Prime p₀= 2151625097522204327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 16 2 10 2 58 2 64 2 (?)
a_n: 0 2 60 62 84 86 102 104 114 116 174 176 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 58 22 16 10 58 64

STPT(10)	2151624110748173417	0 2 42 44 72 74 102 104 144 146	-986774030910
TPT(14)	2151624155652926417	0 2 12 14 24 26 84 86 150 152 192 194 240 242	-941869277910
STPT(10)	2151624494454926537	0 2 12 14 72 74 132 134 144 146	-603067277790
SPT(16)	2151624494686543453	0 40 70 84 108 124 148 178 210 240 264 280 304 318 348 388	-602835660874
SPT(16)	2151624675690621367	0 40 42 46 70 84 112 120 136 144 172 186 210 214 216 256	-421831582960
SPT(16)	2151624770997101401	0 22 40 60 70 112 138 148 162 172 198 240 250 270 288 310	-326525102926
TPT(14)	2151625221239760281	0 2 36 38 66 68 156 158 168 170 210 212 240 242	123717555954
SPT(16)	2151625306609481627	0 30 42 84 126 152 176 182 234 240 264 290 332 374 386 416	209087277300
SPT(16)	2151625389337550773	0 6 28 36 40 54 124 136 138 150 220 234 238 246 268 274	291815346446
SPT(16)	2151625809102975511	0 28 60 76 82 126 130 138 250 258 262 306 312 328 360 388	711580771184
SPT(16)	2151626145436644203	0 8 26 74 78 98 116 134 270 288 306 326 330 378 396 404	1047914439876