Prime p₀= 1051012136867762099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

TPT(14)	1051010588578268429	0 2 18 20 42 44 180 182 210 212 270 272 282 284	-1548289493670
SPT(16)	1051010993395050767	0 6 14 44 62 126 132 146 150 164 170 234 252 282 290 296	-1143472711332
STPT(10)	1051011037182011177	0 2 30 32 42 44 54 56 84 86	-1099685750922
SPT(16)	1051011058647767501	0 32 50 138 146 168 176 188 300 312 320 342 350 438 456 488	-1078219994598
SPT(16)	1051011574461046111	0 42 82 90 138 196 238 298 420 480 522 580 628 636 676 718	-562406715988
SPT(16)	1051012046023385951	0 8 42 86 92 96 108 120 128 140 152 156 162 206 240 248	-90844376148
SPT(16)	1051012233987006323	0 18 30 48 74 96 120 146 168 194 218 240 266 284 296 314	97119244224
SPT(16)	1051012274424950363	0 30 38 54 56 78 126 180 194 248 296 318 320 336 344 374	137557188264
STPT(10)	1051012285312991537	0 2 30 32 42 44 54 56 84 86	148445229438
SPT(20)	1051012296794941577	0 12 20 32 56 120 132 144 174 182 264 272 302 314 326 390 414 426 434 446	159927179478
STPT(10)	1051012543368454967	0 2 24 26 42 44 60 62 84 86	406500692868