Prime p₀= 2397262571270436637 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 56 34 42 26 42 10 98 10 42 26 42 34 56 4 (?)
a_n: 0 4 60 94 136 162 204 214 312 322 364 390 432 466 522 526
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: 526
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 4 56 34 42 26 42 10 98

SPT(16)	2397260977458807433	0 18 36 94 100 136 150 156 178 184 198 234 240 298 316 334	-1593811629204
STPT(10)	2397261308761929809	0 2 12 14 90 92 168 170 180 182	-1262508506828
STPT(10)	2397261362847863177	0 2 30 32 42 44 54 56 84 86	-1208422573460
STPT(10)	2397261627306543131	0 2 36 38 78 80 120 122 156 158	-943963893506
SPT(16)	2397261839156026753	0 30 36 40 58 60 78 84 100 106 124 126 144 148 154 184	-732114409884
SPT(16)	2397262336817647589	0 50 92 104 120 168 174 198 224 248 254 302 318 330 372 422	-234452789048
SPT(16)	2397262644687920573	0 48 54 78 90 110 128 144 170 186 204 224 236 260 266 314	73417483936
STPT(10)	2397263021934004319	0 2 18 20 30 32 42 44 60 62	450663567682
TPT(14)	2397263255891603291	0 2 78 80 90 92 96 98 126 128 150 152 318 320	684621166654
STPT(10)	2397263267421850967	0 2 42 44 72 74 102 104 144 146	696151414330
SPT(16)	2397263383549959839	0 18 54 68 110 122 144 150 182 188 210 222 264 278 314 332	812279523202