Prime p₀= 2682037271499590759 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-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2682035852345384653	0 28 30 60 66 70 76 88 138 150 156 160 166 196 198 226	-1419154206106
STPT(10)	2682035928209834561	0 2 30 32 78 80 126 128 156 158	-1343289756198
SPT(16)	2682035935996815617	0 44 72 104 126 164 174 186 230 242 252 290 312 344 372 416	-1335502775142
STPT(10)	2682036612855043229	0 2 42 44 60 62 78 80 120 122	-658644547530
SPT(16)	2682037121682710797	0 76 90 136 144 150 166 202 264 300 316 322 330 376 390 466	-149816879962
SPT(16)	2682037217156937971	0 18 38 62 80 90 170 188 270 288 368 378 396 420 440 458	-54342652788
TPT(14)	2682037293974934347	0 2 114 116 132 134 210 212 312 314 390 392 552 554	22475343588
SPT(16)	2682038228680036439	0 20 30 38 72 114 140 174 188 222 248 290 324 332 342 362	957180445680
SPT(16)	2682038233115194949	0 50 78 84 90 144 150 164 168 182 188 242 248 254 282 332	961615604190
STPT(10)	2682038433605689187	0 2 12 14 42 44 72 74 84 86	1162106098428
STPT(10)	2682038569622682341	0 2 30 32 78 80 126 128 156 158	1298123091582