Prime p₀= 2336119922590472351 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 54 16 18 36 42 62 28 62 42 36 18 16 54 32 (?)
a_n: 0 32 86 102 120 156 198 260 288 350 392 428 446 462 516 548
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: 548
Found by: Landjunge
db: batch=81, k=16, 32 54 16 18 36 42 62 28

SPT(16)	2336117390205377479	0 12 22 28 42 60 84 88 204 208 232 250 264 270 280 292	-2532385094872
STPT(10)	2336117830675255337	0 2 42 44 72 74 102 104 144 146	-2091915217014
SPT(16)	2336117957761473253	0 60 76 88 90 214 228 294 340 406 420 544 546 558 574 634	-1964828999098
SPT(16)	2336118588807528911	0 8 50 72 80 92 110 128 192 210 228 240 248 270 312 320	-1333782943440
STPT(10)	2336119018440091271	0 2 30 32 78 80 126 128 156 158	-904150381080
STPT(10)	2336119124819228381	0 2 6 8 48 50 90 92 96 98	-797771243970
TPT(14)	2336120098013805149	0 2 60 62 90 92 102 104 198 200 228 230 300 302	175423332798
STPT(10)	2336120218867661297	0 2 30 32 42 44 54 56 84 86	296277188946
SPT(16)	2336120317578923297	0 6 14 42 74 86 90 92 114 116 120 132 164 192 200 206	394988450946
SPT(16)	2336120754232596259	0 18 24 42 60 64 78 88 144 154 168 172 190 208 214 232	831642123908
STPT(10)	2336120805307040501	0 2 96 98 138 140 180 182 276 278	882716568150