Prime p₀= 1051351417321268417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: stoneageman
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1051350485613334913	0 6 30 114 146 164 180 186 194 200 216 234 266 350 374 380	-931707933504
STPT(10)	1051350837865779359	0 2 18 20 30 32 42 44 60 62	-579455489058
SPT(18)	1051350861691064437	0 34 54 112 126 154 174 184 196 240 252 262 282 310 324 382 402 436	-555630203980
SPT(16)	1051351019184437287	0 4 16 24 30 42 52 54 142 144 154 166 172 180 192 196	-398136831130
TPT(14)	1051351133849368907	0 2 60 62 90 92 144 146 162 164 240 242 252 254	-283471899510
SPT(16)	1051351361121254819	0 2 14 20 42 44 48 72 80 104 108 110 132 138 150 152	-56200013598
STPT(10)	1051351561450308689	0 2 18 20 30 32 42 44 60 62	144129040272
STPT(10)	1051351783845281057	0 2 12 14 42 44 72 74 84 86	366524012640
STPT(10)	1051351812086263151	0 2 36 38 78 80 120 122 156 158	394764994734
STPT(10)	1051351979427547079	0 2 18 20 60 62 102 104 120 122	562106278662
SPT(16)	1051352800173234289	0 22 34 48 70 78 100 108 124 132 154 162 184 198 210 232	1382851965872