Prime p₀= 2285301650199854987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 64 2 82 2 34 2 10 2 (?)
a_n: 0 2 42 44 54 56 120 122 204 206 240 242 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 40 10 64 82 34 10

SPT(16)	2285300940745656287	0 12 60 62 80 84 110 122 174 186 212 216 234 236 284 296	-709454198700
SPT(16)	2285300998911988901	0 32 50 60 62 68 72 78 110 116 120 126 128 138 156 188	-651287866086
STPT(10)	2285301021581564807	0 2 60 62 72 74 84 86 144 146	-628618290180
STPT(10)	2285301291801765449	0 2 18 20 60 62 102 104 120 122	-358398089538
SPT(16)	2285301343492128341	0 2 6 18 72 90 92 116 132 156 158 176 230 242 246 248	-306707726646
SPT(16)	2285301381213395291	0 26 90 96 120 146 180 216 230 266 300 326 350 356 420 446	-268986459696
SPT(16)	2285302033435425713	0 8 24 36 38 78 114 120 134 140 176 216 218 230 246 254	383235570726
SPT(16)	2285302064136699323	0 30 56 60 80 114 126 144 170 188 200 234 254 258 284 314	413936844336
STPT(10)	2285302336302418187	0 2 30 32 42 44 54 56 84 86	686102563200
SPT(16)	2285302361009185829	0 48 68 72 84 90 114 150 152 188 212 218 230 234 254 302	710809330842
SPT(16)	2285303096809325419	0 40 84 94 100 102 138 144 178 184 220 222 228 238 282 322	1446609470432