Prime p₀= 2396172648456970067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 28 2 34 2 10 2 40 2 (?)
a_n: 0 2 60 62 114 116 144 146 180 182 192 194 234 236
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: Boliver
db: batch=81, k=14, 58 52 28 34 10 40

STPT(10)	2396170355750218379	0 2 48 50 90 92 132 134 180 182	-2292706751688
SPT(16)	2396170387396508197	0 72 82 124 142 150 184 186 220 222 256 264 282 324 334 406	-2261060461870
TPT(14)	2396171344820020037	0 2 72 74 84 86 174 176 180 182 270 272 294 296	-1303636950030
STPT(10)	2396171387807382971	0 2 30 32 78 80 126 128 156 158	-1260649587096
SPT(16)	2396171586082963891	0 42 70 72 90 112 118 130 168 180 186 208 226 228 256 298	-1062374006176
SPT(16)	2396172203056699097	0 20 30 32 56 62 116 122 150 156 210 216 240 242 252 272	-445400270970
SPT(16)	2396172669394389349	0 24 48 58 84 88 90 100 102 112 114 118 144 154 178 202	20937419282
TPT(14)	2396172810412214747	0 2 12 14 42 44 60 62 102 104 114 116 132 134	161955244680
STPT(10)	2396172820587601841	0 2 36 38 78 80 120 122 156 158	172130631774
STPT(10)	2396172872750845169	0 2 42 44 60 62 78 80 120 122	224293875102
SPT(16)	2396172905658826289	0 42 74 90 92 102 162 164 210 212 272 282 284 300 332 374	257201856222