Prime p₀= 2005986652685368037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2005985650213207181	0 2 30 32 78 80 126 128 156 158	-1002472160856
STPT(10)	2005985761301572019	0 2 12 14 30 32 48 50 60 62	-891383796018
STPT(10)	2005985800139533907	0 2 90 92 102 104 114 116 204 206	-852545834130
STPT(10)	2005985996952028361	0 2 6 8 48 50 90 92 96 98	-655733339676
SPT(16)	2005986089338946777	0 20 32 56 66 72 86 90 182 186 200 206 216 240 252 272	-563346421260
TPT(14)	2005986253067935247	0 2 30 32 42 44 90 92 180 182 222 224 270 272	-399617432790
SPT(16)	2005987196702003531	0 2 30 48 60 92 128 132 158 162 198 230 242 260 288 290	544016635494
STPT(10)	2005987296329007611	0 2 6 8 48 50 90 92 96 98	643643639574
STPT(10)	2005987485285867899	0 2 12 14 30 32 48 50 60 62	832600499862
SPT(16)	2005987851943626137	0 6 20 26 72 86 126 132 164 170 210 224 270 276 290 296	1199258258100
TPT(14)	2005988126935298237	0 2 12 14 90 92 114 116 132 134 210 212 240 242	1474249930200