Prime p₀= 865650845566036889 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 4 2 130 2 (?)
a_n: 0 2 60 62 72 74 132 134 162 164 168 170 300 302
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: 302
Found by: arkiss
db: batch=73, k=14, 58 10 58 28 4 130

SPT(16)	865649839742882959	0 10 30 48 78 84 112 162 190 240 268 274 304 322 342 352	-1005823153930
TPT(14)	865650013479165917	0 2 30 32 60 62 72 74 90 92 114 116 162 164	-832086870972
STPT(10)	865650014642767691	0 2 78 80 138 140 198 200 276 278	-830923269198
STPT(10)	865650145748182367	0 2 24 26 42 44 60 62 84 86	-699817854522
STPT(10)	865650352430433539	0 2 12 14 30 32 48 50 60 62	-493135603350
SPT(16)	865650762211034477	0 30 60 66 80 96 126 132 164 170 200 216 230 236 266 296	-83355002412
STPT(10)	865650879787121807	0 2 30 32 42 44 54 56 84 86	34221084918
TPT(14)	865651051885564361	0 2 30 32 48 50 156 158 180 182 228 230 258 260	206319527472
SPT(16)	865651170444696511	0 18 28 66 82 88 96 108 130 142 150 156 172 210 220 238	324878659622
SPT(16)	865651192947587587	0 16 24 94 112 126 186 274 282 370 430 444 462 532 540 556	347381550698
SPT(16)	865651411091549699	0 18 42 60 78 80 108 144 158 194 222 224 242 260 284 302	565525512810