Prime p₀= 919088596052058659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 58 2 130 2 16 2 (?)
a_n: 0 2 12 14 78 80 108 110 168 170 300 302 318 320
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: 320
Found by: Fardringle
db: batch=76, k=14, 10 64 28 58 130 16

SPT(16)	919086524960660321	0 12 80 116 126 180 212 248 270 306 338 392 402 438 506 518	-2071091398338
SPT(13)	919086907358120429	0 60 78 102 120 132 210 288 300 318 342 360 420	-1688693938230
SPT(16)	919087447072775689	0 24 30 42 52 64 118 120 142 144 198 210 220 232 238 262	-1148979282970
STPT(10)	919087610542682171	0 2 90 92 108 110 126 128 216 218	-985509376488
SPT(16)	919087979056730797	0 46 72 94 166 172 184 196 210 222 234 240 312 334 360 406	-616995327862
SPT(16)	919088530105009133	0 6 30 38 90 108 116 156 158 198 206 224 276 284 308 314	-65947049526
STPT(10)	919088986559858657	0 2 90 92 132 134 174 176 264 266	390507799998
STPT(10)	919089011755432751	0 2 30 32 78 80 126 128 156 158	415703374092
TPT(14)	919089103724755739	0 2 12 14 18 20 42 44 150 152 198 200 228 230	507672697080
SPT(16)	919089393343806943	0 18 30 34 40 48 90 100 168 178 220 228 234 238 250 268	797291748284
SPT(16)	919089511262540237	0 6 54 90 104 116 126 146 210 230 240 252 266 302 350 356	915210481578