Prime p₀= 2678612470431545117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678611118014000249	0 22 28 34 112 138 168 174 238 244 274 300 378 384 390 412	-1352417544868
STPT(10)	2678611227320667137	0 2 30 32 72 74 114 116 144 146	-1243110877980
TPT(16)	2678611286677118519	0 2 18 20 108 110 150 152 192 194 270 272 282 284 312 314	-1183754426598
STPT(10)	2678611889326592249	0 2 30 32 60 62 90 92 120 122	-581104952868
SPT(16)	2678611897057546759	0 4 30 64 72 100 124 130 162 168 192 220 228 262 288 292	-573373998358
SPT(16)	2678611930255311823	0 58 64 76 100 106 108 114 160 166 168 174 198 210 216 274	-540176233294
SPT(16)	2678612503677423611	0 20 30 36 50 56 62 78 110 126 132 138 152 158 168 188	33245878494
STPT(10)	2678612853123289499	0 2 18 20 30 32 42 44 60 62	382691744382
SPT(16)	2678612863627422929	0 12 32 60 158 162 180 182 240 242 260 264 362 390 410 422	393195877812
STPT(10)	2678612927024193329	0 2 18 20 30 32 42 44 60 62	456592648212
SPT(16)	2678613251670417287	0 14 20 44 50 66 80 114 176 210 224 240 246 270 276 290	781238872170