Prime p₀= 2350043427646461689 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: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2350041537455122793	0 8 36 60 78 98 164 168 206 210 276 296 314 338 366 374	-1890191338896
STPT(10)	2350041795848157107	0 2 12 14 72 74 132 134 144 146	-1631798304582
SPT(16)	2350041838604479469	0 8 30 90 108 134 150 162 170 182 198 224 242 302 324 332	-1589041982220
SPT(16)	2350041953396776259	0 12 20 32 62 90 102 108 134 140 152 180 210 222 230 242	-1474249685430
STPT(10)	2350042089581400059	0 2 18 20 30 32 42 44 60 62	-1338065061630
SPT(16)	2350042195796537369	0 18 54 78 84 108 140 158 204 222 254 278 284 308 344 362	-1231849924320
SPT(16)	2350043675368681283	0 24 36 54 78 110 210 224 300 314 414 446 470 488 500 524	247722219594
STPT(10)	2350044358043436401	0 2 6 8 48 50 90 92 96 98	930396974712
TPT(14)	2350044574345636967	0 2 54 56 84 86 210 212 240 242 390 392 414 416	1146699175278
SPT(16)	2350045116039008569	0 12 24 58 70 84 88 150 172 234 238 252 264 298 310 322	1688392546880
TPT(14)	2350045266099168689	0 2 78 80 162 164 198 200 228 230 258 260 270 272	1838452707000