Prime p₀= 2150363535005285723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 4 18 20 18 66 28 68 28 66 18 20 18 4 14 (?)
a_n: 0 14 18 36 56 74 140 168 236 264 330 348 368 386 390 404
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: 404
Found by: JayPi
db: batch=81, k=16, 14 4 18 20 18 66 28 68

SPT(16)	2150361217786123049	0 2 12 30 38 42 44 68 114 138 140 144 152 170 180 182	-2317219162674
STPT(10)	2150361756833037437	0 2 30 32 42 44 54 56 84 86	-1778172248286
STPT(10)	2150362173636460541	0 2 6 8 18 20 30 32 36 38	-1361368825182
SPT(16)	2150362287762753719	0 12 32 48 50 68 114 120 152 158 204 222 224 240 260 272	-1247242532004
SPT(16)	2150362863813222011	0 20 30 38 48 62 78 116 132 170 186 200 210 218 228 248	-671192063712
STPT(10)	2150363246260595459	0 2 42 44 60 62 78 80 120 122	-288744690264
SPT(16)	2150363973535563509	0 8 14 38 44 98 110 120 128 138 150 204 210 234 240 248	438530277786
SPT(16)	2150364114569107669	0 12 58 72 94 100 150 154 168 172 222 228 250 264 310 322	579563821946
SPT(16)	2150364117234942667	0 34 66 76 90 120 126 144 286 304 310 340 354 364 396 430	582229656944
SPT(16)	2150364256543842499	0 34 42 54 94 102 118 124 138 144 160 168 208 220 228 262	721538556776
STPT(10)	2150365305660764609	0 2 18 20 30 32 42 44 60 62	1770655478886