Prime p₀= 2623032640222999049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2623030418645686163	0 8 20 30 56 104 114 158 186 230 240 288 314 324 336 344	-2221577312886
STPT(10)	2623030563321968207	0 2 42 44 72 74 102 104 144 146	-2076901030842
STPT(10)	2623031098786231949	0 2 12 14 30 32 48 50 60 62	-1541436767100
STPT(10)	2623031271849715757	0 2 30 32 60 62 90 92 120 122	-1368373283292
STPT(10)	2623031468253102029	0 2 12 14 30 32 48 50 60 62	-1171969897020
SPT(16)	2623031603043635671	0 18 40 52 60 70 82 118 150 186 198 208 216 228 250 268	-1037179363378
SPT(16)	2623032914260172761	0 6 18 22 28 36 88 138 190 240 292 300 306 310 322 328	274037173712
SPT(16)	2623033278912975839	0 14 18 32 60 84 102 120 122 140 158 182 210 224 228 242	638689976790
STPT(10)	2623033366129123301	0 2 6 8 48 50 90 92 96 98	725906124252
SPT(13)	2623033417102298339	0 60 72 90 102 132 150 168 198 210 228 240 300	776879299290
SPT(16)	2623033482585926149	0 10 22 54 82 108 168 174 238 244 304 330 358 390 402 412	842362927100