Prime p₀= 1051351812086263151 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: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1051351019184437287	0 4 16 24 30 42 52 54 142 144 154 166 172 180 192 196	-792901825864
TPT(14)	1051351133849368907	0 2 60 62 90 92 144 146 162 164 240 242 252 254	-678236894244
SPT(16)	1051351361121254819	0 2 14 20 42 44 48 72 80 104 108 110 132 138 150 152	-450965008332
STPT(10)	1051351417321268417	0 2 54 56 72 74 90 92 144 146	-394764994734
STPT(10)	1051351561450308689	0 2 18 20 30 32 42 44 60 62	-250635954462
STPT(10)	1051351783845281057	0 2 12 14 42 44 72 74 84 86	-28240982094
STPT(10)	1051351979427547079	0 2 18 20 60 62 102 104 120 122	167341283928
SPT(16)	1051352800173234289	0 22 34 48 70 78 100 108 124 132 154 162 184 198 210 232	988086971138
STPT(10)	1051352918539658417	0 2 12 14 72 74 132 134 144 146	1106453395266
STPT(10)	1051353119782193477	0 2 12 14 42 44 72 74 84 86	1307695930326
STPT(10)	1051353267841807031	0 2 6 8 48 50 90 92 96 98	1455755543880