Prime p₀= 2281506558633282509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 94 2 40 2 16 2 58 2 (?)
a_n: 0 2 12 14 42 44 138 140 180 182 198 200 258 260
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: 260
Found by: Orange Kid
db: batch=81, k=14, 10 28 94 40 16 58

SPT(16)	2281505526614744257	0 22 60 64 112 126 192 226 240 274 340 354 402 406 444 466	-1032018538252
SPT(16)	2281505530805255791	0 12 22 58 100 150 168 192 196 220 238 288 330 366 376 388	-1027828026718
SPT(16)	2281506429138930739	0 12 40 42 48 54 70 84 88 102 118 124 130 132 160 172	-129494351770
SPT(16)	2281506441710589397	0 10 12 54 76 96 150 156 220 226 280 300 322 364 366 376	-116922693112
STPT(10)	2281506476716163087	0 2 30 32 42 44 54 56 84 86	-81917119422
SPT(16)	2281506504016747613	0 14 30 84 86 90 104 146 204 246 260 264 266 320 336 350	-54616534896
SPT(16)	2281506792870146837	0 2 42 72 116 156 162 182 204 224 230 270 314 344 384 386	234236864328
TPT(14)	2281507054214115149	0 2 42 44 48 50 78 80 102 104 162 164 198 200	495580832640
STPT(10)	2281507073299166861	0 2 30 32 78 80 126 128 156 158	514665884352
STPT(10)	2281507210203378257	0 2 42 44 72 74 102 104 144 146	651570095748
SPT(16)	2281508289360266569	0 12 28 52 54 72 82 120 172 210 220 238 240 264 280 292	1730726984060