Prime p₀= 1044526394957997569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 46 2 10 2

STPT(10)	1044524580923380157	0 2 30 32 42 44 54 56 84 86	-1814034617412
SPT(16)	1044524881757379637	0 10 16 84 90 96 136 142 294 300 340 346 352 420 426 436	-1513200617932
SPT(16)	1044525317765924021	0 18 42 102 152 156 228 240 278 290 362 366 416 476 500 518	-1077192073548
STPT(10)	1044525352708910417	0 2 42 44 72 74 102 104 144 146	-1042249087152
SPT(16)	1044525561924960523	0 16 30 46 64 70 78 84 130 136 144 150 168 184 198 214	-833033037046
SPT(16)	1044525846391602581	0 2 42 48 66 68 86 116 222 252 270 272 290 296 336 338	-548566394988
SPT(16)	1044526728704554811	0 56 60 86 108 150 170 176 192 198 218 260 282 308 312 368	333746557242
SPT(16)	1044526737053192531	0 8 36 56 66 98 138 150 176 188 228 260 270 290 318 326	342095194962
SPT(16)	1044526950351093487	0 12 22 36 70 90 106 124 132 150 166 186 220 234 244 256	555393095918
STPT(10)	1044527065326097019	0 2 18 20 60 62 102 104 120 122	670368099450
STPT(10)	1044527749537373417	0 2 30 32 42 44 54 56 84 86	1354579375848