Prime p₀= 953136559822546817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: HenkM
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	953135694557033011	0 6 30 40 76 82 100 118 120 138 156 162 198 208 232 238	-865265513806
STPT(10)	953136063823540307	0 2 42 44 72 74 102 104 144 146	-495999006510
SPT(16)	953136148627844407	0 22 90 106 130 172 174 196 210 232 234 276 300 316 384 406	-411194702410
STPT(10)	953136308979382349	0 2 48 50 90 92 132 134 180 182	-250843164468
SPT(13)	953136315387277699	0 30 60 72 90 132 150 168 210 228 240 270 300	-244435269118
STPT(10)	953136545314912547	0 2 30 32 42 44 54 56 84 86	-14507634270
STPT(10)	953136755954692877	0 2 12 14 42 44 72 74 84 86	196132146060
SPT(16)	953136892403474257	0 24 34 42 70 94 120 124 150 154 180 204 232 240 250 274	332580927440
SPT(16)	953137111056461923	0 28 54 64 100 118 124 160 168 204 210 228 264 274 300 328	551233915106
STPT(10)	953137166786863307	0 2 60 62 72 74 84 86 144 146	606964316490
STPT(10)	953137188030480119	0 2 18 20 30 32 42 44 60 62	628207933302