Prime p₀= 285736423836870701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 10 2 16 2 58 2 40 2 (?)
a_n: 0 2 30 32 156 158 168 170 186 188 246 248 288 290
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: 290
Found by: Donn Pike (USAF Ret)
db: batch=69, k=14, 28 124 10 16 58 40

SPT(14)	285736340758847339	0 8 44 110 128 138 152 240 254 264 282 348 384 392	-83078023362
SPT(14)	285736342832952751	0 18 36 48 88 106 112 126 132 150 190 202 220 238	-81003917950
SPT(14)	285736359259417477	0 12 34 36 166 186 190 276 280 300 430 432 454 466	-64577453224
SPT(14)	285736374351908423	0 54 66 98 104 140 150 224 234 270 276 308 320 374	-49484962278
SPT(14)	285736408423485829	0 12 18 40 42 52 60 112 120 130 132 154 160 172	-15413384872
SPT(14)	285736412994038291	0 8 32 42 50 60 62 96 98 108 116 126 150 158	-10842832410
TPT(12)	285736452312994127	0 2 12 14 30 32 90 92 132 134 174 176	28476123426
SPT(14)	285736457510018927	0 32 80 122 126 132 146 210 224 230 234 276 324 356	33673148226
SPT(14)	285736470855101863	0 10 18 36 84 120 154 210 244 280 328 346 354 364	47018231162
SPT(14)	285736485315120173	0 6 8 14 36 38 50 54 66 68 90 96 98 104	61478249472
SPT(14)	285736490395854041	0 32 42 56 66 68 78 140 150 152 162 176 186 218	66558983340