Prime p₀= 2658941153442621041 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)	2658939876832956569	0 24 42 80 90 102 140 212 270 342 380 392 402 440 458 482	-1276609664472
SPT(16)	2658940103745486439	0 22 54 58 114 124 132 138 184 190 198 208 264 268 300 322	-1049697134602
SPT(16)	2658940274647396273	0 10 30 70 100 108 196 244 270 318 406 414 444 484 504 514	-878795224768
TPT(16)	2658940775428799819	0 2 12 14 150 152 168 170 180 182 192 194 198 200 270 272	-378013821222
STPT(10)	2658940875300050777	0 2 42 44 72 74 102 104 144 146	-278142570264
STPT(10)	2658940916950265219	0 2 18 20 30 32 42 44 60 62	-236492355822
TPT(14)	2658941283868885397	0 2 54 56 72 74 90 92 114 116 174 176 180 182	130426264356
SPT(16)	2658941640127556449	0 30 52 64 72 78 94 112 150 168 184 190 198 210 232 262	486684935408
TPT(14)	2658941826969612449	0 2 12 14 108 110 210 212 270 272 312 314 378 380	673526991408
TPT(14)	2658941935264153997	0 2 12 14 42 44 54 56 174 176 252 254 384 386	781821532956
SPT(16)	2658942461057977649	0 2 20 42 114 120 122 140 234 252 254 260 332 354 372 374	1307615356608