Prime p₀= 1285977444677248909 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 78 30 68 52 6 74 28 74 6 52 68 30 78 4 (?)
a_n: 0 4 82 112 180 232 238 312 340 414 420 472 540 570 648 652
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: 652
Found by: Cruncher Pete
db: batch=77, k=16, 4 78 30 68 52 6 74 28

SPT(16)	1285976440166234413	0 10 46 78 88 100 108 126 130 148 156 168 178 210 246 256	-1004511014496
SPT(16)	1285976823460088503	0 30 60 64 148 154 160 168 190 198 204 210 294 298 328 358	-621217160406
STPT(10)	1285977237108322019	0 2 48 50 60 62 72 74 120 122	-207568926890
SPT(16)	1285977241350367619	0 18 42 48 132 144 174 180 182 188 218 230 314 320 344 362	-203326881290
SPT(16)	1285977262606466317	0 24 30 40 70 72 76 84 142 150 154 156 186 196 202 226	-182070782592
STPT(10)	1285977434233284941	0 2 36 38 78 80 120 122 156 158	-10443963968
STPT(10)	1285977611532206729	0 2 48 50 90 92 132 134 180 182	166854957820
STPT(10)	1285977653329260251	0 2 6 8 48 50 90 92 96 98	208652011342
STPT(10)	1285977998691079781	0 2 6 8 48 50 90 92 96 98	554013830872
STPT(10)	1285978007281152347	0 2 30 32 42 44 54 56 84 86	562603903438
SPT(16)	1285978018997629967	0 20 86 102 104 120 132 176 240 284 296 312 314 330 396 416	574320381058