Prime p₀= 82874673663548353 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 2 30 10 68 48 22 48 68 10 30 2 28 (?)
a_n: 0 28 30 60 70 138 186 208 256 324 334 364 366 394
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 394
Found by: emoga
db: batch=67, k=14, 28 2 30 10 68 48 22

SPT(14)	82874623114568633	0 36 50 54 56 98 110 174 186 228 230 234 248 284	-50548979720
SPT(14)	82874626761821117	0 14 42 44 80 84 114 122 152 156 192 194 222 236	-46901727236
SPT(14)	82874639018036609	0 2 18 32 38 42 90 410 458 462 468 482 498 500	-34645511744
SPT(14)	82874648766461921	0 6 20 36 48 56 90 98 132 140 152 168 182 188	-24897086432
SPT(16)	82874659303513673	0 8 18 24 36 74 96 168 176 248 270 308 320 326 336 344	-14360034680
SPT(14)	82874660926061117	0 36 50 54 72 86 116 180 210 224 242 246 260 296	-12737487236
SPT(14)	82874681241120283	0 6 16 30 64 84 100 180 196 216 250 264 274 280	7577571930
STPT(10)	82874681537915957	0 2 30 32 42 44 54 56 84 86	7874367604
SPT(14)	82874681576464867	0 34 46 64 66 126 130 150 154 214 216 234 246 280	7912916514
SPT(16)	82874683802306923	0 4 46 90 106 118 120 126 148 154 156 168 184 228 270 274	10138758570
SPT(18)	82874690453584033	0 36 46 60 70 78 88 196 226 228 258 366 376 384 394 408 418 454	16790035680