Prime p₀= 1167590527323994271 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: xii5ku
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1167588969802446167	0 12 14 26 74 114 126 132 224 230 242 282 330 342 344 356	-1557521548104
STPT(10)	1167589632360784847	0 2 30 32 42 44 54 56 84 86	-894963209424
STPT(10)	1167589732469148587	0 2 30 32 42 44 54 56 84 86	-794854845684
STPT(10)	1167589796012840657	0 2 30 32 72 74 114 116 144 146	-731311153614
SPT(16)	1167589914927999319	0 42 52 54 102 108 124 142 150 168 184 190 238 240 250 292	-612395994952
STPT(10)	1167590273036514779	0 2 48 50 90 92 132 134 180 182	-254287479492
STPT(10)	1167590697934194617	0 2 30 32 72 74 114 116 144 146	170610200346
SPT(18)	1167590967833534689	0 34 118 124 132 144 162 174 190 222 238 250 268 280 288 294 378 412	440509540418
STPT(10)	1167590972327741231	0 2 6 8 48 50 90 92 96 98	445003746960
SPT(16)	1167591376672186019	0 8 14 38 50 80 108 110 138 140 168 198 210 234 240 248	849348191748
STPT(10)	1167591887197199249	0 2 42 44 60 62 78 80 120 122	1359873204978