Prime p₀= 2679682498405680809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2679681695503675931	0 26 56 90 176 210 228 242 246 260 278 312 398 432 462 488	-802902004878
STPT(10)	2679681721336853657	0 2 12 14 72 74 132 134 144 146	-777068827152
SPT(16)	2679681733170066617	0 26 32 44 56 102 110 144 152 186 194 240 252 264 270 296	-765235614192
SPT(16)	2679681916639448599	0 22 90 130 138 168 172 190 222 240 244 274 282 322 390 412	-581766232210
TPT(14)	2679681931106608781	0 2 36 38 90 92 138 140 150 152 210 212 348 350	-567299072028
SPT(16)	2679682289941388999	0 44 68 80 108 120 138 168 320 350 368 380 408 420 444 488	-208464291810
STPT(10)	2679682651905246677	0 2 30 32 42 44 54 56 84 86	153499565868
STPT(10)	2679682831957271909	0 2 18 20 30 32 42 44 60 62	333551591100
TPT(14)	2679683397567099401	0 2 60 62 78 80 90 92 126 128 156 158 258 260	899161418592
SPT(16)	2679683444500838483	0 50 86 114 134 170 186 218 276 308 324 360 380 408 444 494	946095157674
SPT(16)	2679683486088051461	0 2 6 12 18 32 42 68 120 146 156 170 176 182 186 188	987682370652