Prime p₀= 2528744465453247499 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 24 6 48 40 14 6 10 56 4 26 4 56 10 6 14 40 48 6 24 (?)
a_n: 0 24 30 78 118 132 138 148 204 208 234 238 294 304 310 324 364 412 418 442
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 442
Found by: Penguin
db: batch=82, k=20, 24 6 48 40 14 6 10 56 4 26

SPT(16)	2528742485796411257	0 42 62 66 120 156 162 206 216 260 266 302 356 360 380 422	-1979656836242
SPT(16)	2528742486445249157	0 20 24 30 74 110 116 122 174 180 186 222 266 272 276 296	-1979007998342
SPT(16)	2528742671876114233	0 18 64 96 130 138 166 196 198 228 256 264 298 330 376 394	-1793577133266
STPT(10)	2528742753762181301	0 2 36 38 78 80 120 122 156 158	-1711691066198
STPT(10)	2528742836434523711	0 2 30 32 60 62 90 92 120 122	-1629018723788
STPT(10)	2528744432142929447	0 2 42 44 72 74 102 104 144 146	-33310318052
SPT(16)	2528744707428836503	0 6 40 54 106 126 166 180 244 258 298 318 370 384 418 424	241975589004
SPT(16)	2528745183572859019	0 10 18 40 82 88 222 228 244 250 384 390 432 454 462 472	718119611520
STPT(10)	2528745594138799199	0 2 48 50 90 92 132 134 180 182	1128685551700
TPT(14)	2528746261294647299	0 2 12 14 42 44 78 80 120 122 138 140 252 254	1795841399800
STPT(10)	2528747050498295657	0 2 30 32 60 62 90 92 120 122	2585045048158