Prime p₀= 2667971587154994941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2667970146498176497	0 42 54 60 102 130 180 190 336 346 396 424 466 472 484 526	-1440656818444
STPT(10)	2667970151208799889	0 2 48 50 90 92 132 134 180 182	-1435946195052
SPT(16)	2667970286756836967	0 2 6 36 72 80 92 146 156 210 222 230 266 296 300 302	-1300398157974
SPT(16)	2667970466639886671	0 20 68 90 96 126 128 156 200 228 230 260 266 288 336 356	-1120515108270
SPT(16)	2667971146012469053	0 28 54 60 84 100 126 136 198 208 234 250 274 280 306 334	-441142525888
STPT(10)	2667971489118859769	0 2 18 20 30 32 42 44 60 62	-98036135172
STPT(10)	2667971786505990659	0 2 30 32 60 62 90 92 120 122	199350995718
SPT(16)	2667972151192860019	0 18 22 40 48 70 82 120 172 210 222 244 252 270 274 292	564037865078
STPT(10)	2667972249903888227	0 2 24 26 42 44 60 62 84 86	662748893286
SPT(16)	2667972459203937503	0 8 30 36 48 60 66 74 90 98 104 116 128 134 156 164	872048942562
TPT(14)	2667972461355628709	0 2 78 80 168 170 198 200 252 254 282 284 300 302	874200633768