Prime p₀= 2727858442248432439 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 90 24 26 46 38 10 122 10 38 46 26 24 90 4 (?)
a_n: 0 4 94 118 144 190 228 238 360 370 408 454 480 504 594 598
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: 598
Found by: JayPi
db: batch=82, k=16, 4 90 24 26 46 38 10 122

STPT(12)	2727857373957835937	0 2 24 26 30 32 234 236 240 242 264 266	-1068290596502
SPT(16)	2727857488185281849	0 14 48 50 60 90 92 108 134 150 152 182 192 194 228 242	-954063150590
STPT(10)	2727857527050333659	0 2 42 44 60 62 78 80 120 122	-915198098780
SPT(16)	2727857899390379257	0 22 42 60 84 126 132 144 262 274 280 322 346 364 384 406	-542858053182
SPT(16)	2727857904059527669	0 22 42 48 58 132 138 162 238 262 268 342 352 358 378 400	-538188904770
SPT(16)	2727858152835410501	0 48 86 90 96 140 158 180 188 210 228 272 278 282 320 368	-289413021938
STPT(10)	2727858743549447537	0 2 12 14 42 44 72 74 84 86	301301015098
SPT(16)	2727858794030191361	0 8 36 42 56 86 128 138 140 150 192 222 236 242 270 278	351781758922
TPT(14)	2727859020437584001	0 2 36 38 48 50 126 128 138 140 150 152 168 170	578189151562
SPT(16)	2727859611727509659	0 24 38 92 140 144 158 170 192 204 218 222 270 324 338 362	1169479077220
STPT(10)	2727859672541143667	0 2 90 92 102 104 114 116 204 206	1230292711228