Prime p₀= 1688411023118746679 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: jozef j
db: batch=79, k=10, 2 16 2 10 2

STPT(10)	1688409797529288047	0 2 30 32 42 44 54 56 84 86	-1225589458632
SPT(16)	1688409843988780301	0 2 6 12 26 36 50 56 132 138 152 162 176 182 186 188	-1179129966378
SPT(16)	1688410243962950017	0 12 16 24 70 94 100 102 124 126 132 156 202 210 214 226	-779155796662
SPT(16)	1688410258703786363	0 14 30 54 74 104 116 128 186 198 210 240 260 284 300 314	-764414960316
SPT(16)	1688410521734778797	0 42 44 50 62 120 156 170 186 200 236 294 306 312 314 356	-501383967882
STPT(10)	1688410951154941367	0 2 12 14 72 74 132 134 144 146	-71963805312
STPT(10)	1688411051101471061	0 2 30 32 78 80 126 128 156 158	27982724382
SPT(16)	1688411331966070037	0 6 20 30 44 50 56 72 104 120 126 132 146 156 170 176	308847323358
SPT(16)	1688411417071720931	0 38 42 78 90 108 116 146 162 192 200 218 230 266 270 308	393952974252
SPT(16)	1688411767549673459	0 18 24 38 44 74 90 122 150 182 198 228 234 248 254 272	744430926780
SPT(16)	1688412095185813883	0 18 54 98 110 138 158 174 224 240 260 288 300 344 380 398	1072067067204