Prime p₀= 2682137291159543681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2682134695596665669	0 24 38 44 54 90 104 152 210 258 272 308 318 324 338 362	-2595562878012
SPT(16)	2682135203528772737	0 20 54 56 96 182 230 314 342 426 474 560 600 602 636 656	-2087630770944
SPT(16)	2682135502328727589	0 22 58 112 118 124 154 184 228 258 288 294 300 354 390 412	-1788830816092
TPT(14)	2682135943334939027	0 2 24 26 54 56 102 104 210 212 264 266 294 296	-1347824604654
STPT(10)	2682136134658854191	0 2 36 38 108 110 180 182 216 218	-1156500689490
SPT(16)	2682136492933848037	0 10 22 40 42 66 70 106 156 192 196 220 222 240 252 262	-798225695644
STPT(12)	2682137715226620359	0 2 18 20 42 44 78 80 102 104 120 122	424067076678
SPT(16)	2682137755127580493	0 16 46 60 66 78 108 126 130 148 178 190 196 210 240 256	463968036812
TPT(14)	2682137803920607061	0 2 108 110 150 152 210 212 360 362 366 368 390 392	512761063380
SPT(16)	2682137983551985939	0 18 60 70 78 148 178 192 208 222 252 322 330 340 382 400	692392442258
STPT(10)	2682138152788243559	0 2 12 14 90 92 168 170 180 182	861628699878