Prime p₀= 2774866271495438579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2774864705250614707	0 12 42 66 100 120 136 142 174 180 196 216 250 274 304 316	-1566244823872
STPT(10)	2774864900437109939	0 2 18 20 30 32 42 44 60 62	-1371058328640
SPT(16)	2774865718159118767	0 24 52 54 82 84 106 150 166 210 232 234 262 264 292 316	-553336319812
SPT(16)	2774865922829039167	0 6 30 42 64 76 112 144 172 204 240 252 274 286 310 316	-348666399412
STPT(10)	2774865990018775307	0 2 12 14 72 74 132 134 144 146	-281476663272
SPT(16)	2774866028528203097	0 14 24 26 50 104 164 176 180 192 252 306 330 332 342 356	-242967235482
SPT(16)	2774866813119542711	0 56 62 86 92 98 120 126 212 218 240 246 252 276 282 338	541624104132
SPT(16)	2774866880872853639	0 8 54 60 68 90 110 120 122 132 152 174 182 188 234 242	609377415060
STPT(10)	2774866937534262689	0 2 18 20 30 32 42 44 60 62	666038824110
SPT(16)	2774867038962235319	0 20 42 48 90 114 120 128 174 182 188 212 254 260 282 302	767466796740
SPT(16)	2774867072147564243	0 6 108 128 168 188 204 230 234 260 276 296 336 356 458 464	800652125664