Prime p₀= 2396171344820020037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 4 2 88 2 22 2 (?)
a_n: 0 2 72 74 84 86 174 176 180 182 270 272 294 296
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: 296
Found by: Boliver
db: batch=81, k=14, 70 10 88 4 88 22

STPT(10)	2396169404699395571	0 2 78 80 138 140 198 200 276 278	-1940120624466
STPT(10)	2396169431560546307	0 2 30 32 42 44 54 56 84 86	-1913259473730
STPT(10)	2396169518410746059	0 2 42 44 60 62 78 80 120 122	-1826409273978
SPT(16)	2396169684101142361	0 40 46 58 60 70 118 132 136 150 198 208 210 222 228 268	-1660718877676
STPT(10)	2396170355750218379	0 2 48 50 90 92 132 134 180 182	-989069801658
SPT(16)	2396170387396508197	0 72 82 124 142 150 184 186 220 222 256 264 282 324 334 406	-957423511840
STPT(10)	2396171387807382971	0 2 30 32 78 80 126 128 156 158	42987362934
SPT(16)	2396171586082963891	0 42 70 72 90 112 118 130 168 180 186 208 226 228 256 298	241262943854
SPT(16)	2396172203056699097	0 20 30 32 56 62 116 122 150 156 210 216 240 242 252 272	858236679060
TPT(14)	2396172648456970067	0 2 60 62 114 116 144 146 180 182 192 194 234 236	1303636950030
SPT(16)	2396172669394389349	0 24 48 58 84 88 90 100 102 112 114 118 144 154 178 202	1324574369312