Prime p₀= 3018839648607365983 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 36 28 20 22 6 32 88 32 6 22 20 28 36 24 (?)
a_n: 0 24 60 88 108 130 136 168 256 288 294 316 336 364 400 424
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: 424
Found by: Roadranner
db: batch=82, k=16, 24 36 28 20 22 6 32 88

SPT(16)	3018837628008770507	0 2 32 66 86 102 140 162 164 186 224 240 260 294 324 326	-2020598595476
STPT(10)	3018838764058211789	0 2 30 32 60 62 90 92 120 122	-884549154194
TPT(14)	3018839023927642607	0 2 42 44 150 152 180 182 222 224 264 266 360 362	-624679723376
SPT(16)	3018839036258367391	0 28 112 166 202 210 216 222 286 292 298 306 342 396 480 508	-612348998592
STPT(10)	3018839054815655969	0 2 42 44 60 62 78 80 120 122	-593791710014
STPT(10)	3018839449398060257	0 2 30 32 72 74 114 116 144 146	-199209305726
SPT(16)	3018839674500374617	0 12 54 96 106 154 204 214 222 232 282 330 340 382 424 436	25893008634
SPT(16)	3018839702692243421	0 18 36 56 62 90 96 138 140 182 188 216 222 242 260 278	54084877438
STPT(10)	3018839763754449377	0 2 12 14 42 44 72 74 84 86	115147083394
SPT(16)	3018839978800236259	0 18 22 28 42 78 82 88 204 210 214 250 264 270 274 292	330192870276
SPT(16)	3018840080556761051	0 26 78 92 108 120 132 180 248 296 308 320 336 350 402 428	431949395068