Prime p₀= 2013753359610613667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Chooka
db: batch=80, k=10, 2 10 2 58 2

STPT(10)	2013750990796644269	0 2 18 20 30 32 42 44 60 62	-2368813969398
STPT(10)	2013751522495401719	0 2 30 32 60 62 90 92 120 122	-1837115211948
STPT(10)	2013752025704105117	0 2 30 32 72 74 114 116 144 146	-1333906508550
STPT(10)	2013752054315422217	0 2 30 32 42 44 54 56 84 86	-1305295191450
SPT(16)	2013752177752670107	0 36 46 76 102 112 120 130 156 166 174 184 210 240 250 286	-1181857943560
SPT(16)	2013752863303064309	0 20 38 48 54 98 114 174 188 248 264 308 314 324 342 362	-496307549358
STPT(10)	2013753632817487667	0 2 12 14 42 44 72 74 84 86	273206874000
SPT(16)	2013753873599293481	0 12 50 78 90 126 140 162 236 258 272 308 320 348 386 398	513988679814
STPT(10)	2013753896690021999	0 2 42 44 60 62 78 80 120 122	537079408332
SPT(18)	2013754007151555661	0 6 72 76 90 156 196 208 222 256 270 282 322 388 402 406 472 478	647540941994
TPT(14)	2013754027034370767	0 2 54 56 84 86 150 152 222 224 252 254 282 284	667423757100