Prime p₀= 2356418797624584221 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 72 14 54 12 48 22 56 22 56 22 48 12 54 14 72 (?)
a_n: 0 72 86 140 152 200 222 278 300 356 378 426 438 492 506 578
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 578
Found by: MarkRBright
db: batch=81, k=16, 72 14 54 12 48 22 56 22

STPT(10)	2356417965018906461	0 2 30 32 78 80 126 128 156 158	-832605677760
STPT(10)	2356418263806182909	0 2 12 14 90 92 168 170 180 182	-533818401312
TPT(14)	2356418309478532721	0 2 36 38 48 50 240 242 270 272 288 290 396 398	-488146051500
STPT(10)	2356418536815066497	0 2 42 44 72 74 102 104 144 146	-260809517724
STPT(10)	2356418734742607131	0 2 36 38 78 80 120 122 156 158	-62881977090
SPT(16)	2356418773051032527	0 50 54 56 74 92 102 116 120 134 144 162 180 182 186 236	-24573551694
STPT(10)	2356418912450920859	0 2 12 14 90 92 168 170 180 182	114826336638
STPT(10)	2356418969294883587	0 2 90 92 132 134 174 176 264 266	171670299366
SPT(16)	2356419122339460371	0 18 36 98 116 138 152 198 200 246 260 282 300 362 380 398	324714876150
SPT(16)	2356419414036567637	0 46 60 66 102 120 156 162 184 190 226 244 280 286 300 346	616411983416
TPT(14)	2356419877670222669	0 2 42 44 48 50 132 134 198 200 222 224 240 242	1080045638448