Prime p₀= 3235438749637450397 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 12 102 26 24 28 2 16 2 28 24 26 102 12 30 (?)
a_n: 0 30 42 144 170 194 222 224 240 242 270 294 320 422 434 464
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: 464
Found by: Groo
db: batch=83, k=16, 30 12 102 26 24 28 2 16

SPT(16)	3235437487239024107	0 6 36 42 56 104 126 162 284 320 342 390 404 410 440 446	-1262398426290
STPT(10)	3235437625789967567	0 2 54 56 72 74 90 92 144 146	-1123847482830
SPT(16)	3235438013289710341	0 42 70 72 78 112 120 130 138 148 156 190 196 198 226 268	-736347740056
STPT(10)	3235438246287747551	0 2 6 8 18 20 30 32 36 38	-503349702846
STPT(10)	3235438264820849609	0 2 18 20 30 32 42 44 60 62	-484816600788
STPT(10)	3235438648246115321	0 2 6 8 48 50 90 92 96 98	-101391335076
TPT(14)	3235438998278070809	0 2 30 32 78 80 108 110 162 164 210 212 408 410	248640620412
SPT(16)	3235439152068638297	0 14 32 66 74 144 146 170 186 210 212 282 290 324 342 356	402431187900
STPT(10)	3235439401838537627	0 2 24 26 42 44 60 62 84 86	652201087230
SPT(16)	3235439522435881433	0 14 56 66 98 140 158 164 180 186 204 246 278 288 330 344	772798431036
SPT(16)	3235439883900047513	0 18 20 30 54 84 114 128 186 200 230 260 284 294 296 314	1134262597116