Prime p₀= 2117685740882276237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 58 2 46 2 16 2 10 2 (?)
a_n: 0 2 24 26 54 56 114 116 162 164 180 182 192 194
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: 194
Found by: Coleslaw
db: batch=80, k=14, 22 28 58 46 16 10

SPT(16)	2117683437191208553	0 30 60 84 120 148 196 198 226 228 276 304 340 364 394 424	-2303691067684
SPT(16)	2117683823189012773	0 58 66 70 78 90 94 144 160 210 214 226 234 238 246 304	-1917693263464
SPT(16)	2117685304409950939	0 30 34 52 82 130 144 154 198 208 222 270 300 318 322 352	-436472325298
STPT(10)	2117685429913679411	0 2 30 32 60 62 90 92 120 122	-310968596826
SPT(13)	2117685545548700243	0 18 30 48 54 90 114 138 174 180 198 210 228	-195333575994
STPT(10)	2117685620429321771	0 2 6 8 48 50 90 92 96 98	-120452954466
STPT(10)	2117686012812994529	0 2 42 44 90 92 138 140 180 182	271930718292
STPT(10)	2117686037312242427	0 2 30 32 60 62 90 92 120 122	296429966190
TPT(14)	2117686433686733891	0 2 18 20 36 38 90 92 216 218 246 248 288 290	692804457654
SPT(16)	2117686578766725979	0 22 48 78 108 112 132 138 232 238 258 262 292 322 348 370	837884449742
SPT(16)	2117686736527678333	0 54 78 84 108 114 118 124 150 156 160 166 190 196 220 274	995645402096