Prime p₀= 2557349041555089583 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 58 20 10 42 78 2 78 42 10 20 58 12 6 (?)
a_n: 0 6 18 76 96 106 148 226 228 306 348 358 378 436 448 454
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: 454
Found by: JayPi
db: batch=82, k=16, 6 12 58 20 10 42 78 2

SPT(16)	2557346643534829609	0 22 24 72 82 88 108 130 162 184 204 210 220 268 270 292	-2398020259974
TPT(14)	2557346758076631797	0 2 24 26 90 92 132 134 150 152 210 212 264 266	-2283478457786
TPT(14)	2557346925322063247	0 2 42 44 60 62 162 164 174 176 204 206 354 356	-2116233026336
SPT(16)	2557347914829173549	0 2 20 24 30 42 44 62 90 108 110 122 128 132 150 152	-1126725916034
STPT(10)	2557348079063450927	0 2 42 44 72 74 102 104 144 146	-962491638656
STPT(10)	2557348538182603349	0 2 18 20 30 32 42 44 60 62	-503372486234
STPT(10)	2557349042688555287	0 2 30 32 42 44 54 56 84 86	1133465704
STPT(10)	2557349079898191791	0 2 36 38 78 80 120 122 156 158	38343102208
SPT(16)	2557349191329895009	0 24 40 42 60 78 108 112 120 124 154 172 190 192 208 232	149774805426
TPT(14)	2557349304152787707	0 2 54 56 90 92 192 194 210 212 234 236 330 332	262597698124
TPT(14)	2557349907627971429	0 2 72 74 150 152 288 290 318 320 360 362 420 422	866072881846