Prime p₀= 2658123441129618359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2658122069549244751	0 46 52 76 88 118 138 168 220 250 270 300 312 336 342 388	-1371580373608
STPT(10)	2658122109830839187	0 2 30 32 42 44 54 56 84 86	-1331298779172
SPT(16)	2658122471849277077	0 2 12 32 36 42 50 72 80 102 110 116 120 140 150 152	-969280341282
SPT(16)	2658122665181723681	0 30 42 60 90 102 116 120 152 156 170 182 212 230 242 272	-775947894678
STPT(10)	2658122809211290241	0 2 6 8 18 20 30 32 36 38	-631918328118
STPT(10)	2658123084841369427	0 2 42 44 72 74 102 104 144 146	-356288248932
SPT(16)	2658123676231297693	0 4 28 84 90 130 136 144 160 168 174 214 220 276 300 304	235101679334
TPT(14)	2658123763000331369	0 2 102 104 162 164 168 170 210 212 282 284 330 332	321870713010
SPT(16)	2658124416481330409	0 2 30 32 60 68 78 110 270 302 312 320 348 350 378 380	975351712050
STPT(10)	2658124663543006727	0 2 24 26 42 44 60 62 84 86	1222413388368
SPT(16)	2658124772217449147	0 2 26 44 72 74 86 144 152 210 222 224 252 270 294 296	1331087830788