Prime p₀= 1709642068877556557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Senilix
db: batch=79, k=10, 2 40 2 28 2

SPT(16)	1709640821326754551	0 22 42 78 100 130 132 148 180 196 198 228 250 286 306 328	-1247550802006
SPT(16)	1709641447666832443	0 4 40 96 100 130 136 178 186 228 234 264 268 324 360 364	-621210724114
TPT(14)	1709641589832313799	0 2 30 32 132 134 210 212 228 230 252 254 270 272	-479045242758
SPT(16)	1709641797235198069	0 18 22 24 78 94 144 148 174 178 228 244 298 300 304 322	-271642358488
STPT(10)	1709641885699691759	0 2 12 14 30 32 48 50 60 62	-183177864798
STPT(10)	1709641991390800067	0 2 12 14 42 44 72 74 84 86	-77486756490
SPT(16)	1709642310032100443	0 6 18 24 26 48 54 74 90 110 116 138 140 146 158 164	241154543886
SPT(16)	1709642327471063801	0 2 30 32 60 62 90 92 96 98 126 128 156 158 186 188	258593507244
TPT(16)	1709642327471063801	0 2 30 32 60 62 90 92 96 98 126 128 156 158 186 188	258593507244
STPT(16)	1709642327471063801	0 2 30 32 60 62 90 92 96 98 126 128 156 158 186 188	258593507244
STPT(10)	1709642835917647661	0 2 30 32 60 62 90 92 120 122	767040091104