Prime p₀= 1012067518391162669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: vinn@[CNT]
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1012066675216635317	0 24 54 66 86 96 110 114 152 156 170 180 200 212 242 266	-843174527352
TPT(14)	1012066962870527651	0 2 36 38 48 50 90 92 96 98 126 128 138 140	-555520635018
SPT(16)	1012067129152503779	0 32 42 62 68 144 150 164 168 182 188 264 270 290 300 332	-389238658890
SPT(16)	1012067316342757841	0 8 102 110 132 158 162 168 320 326 330 356 378 386 480 488	-202048404828
STPT(10)	1012067492141137097	0 2 12 14 42 44 72 74 84 86	-26250025572
SPT(16)	1012067507189912149	0 4 34 40 84 138 142 148 264 270 274 328 372 378 408 412	-11201250520
SPT(16)	1012068501132046363	0 18 40 48 54 64 78 118 180 220 234 244 250 258 280 298	982740883694
STPT(10)	1012068526864538177	0 2 60 62 72 74 84 86 144 146	1008473375508
SPT(16)	1012069026700421297	0 2 6 14 54 56 66 80 156 170 180 182 222 230 234 236	1508309258628
STPT(10)	1012069285306989731	0 2 6 8 48 50 90 92 96 98	1766915827062
STPT(10)	1012069608110245931	0 2 36 38 78 80 120 122 156 158	2089719083262