Prime p₀= 1276596751300889969 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: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(20)	1276595502878584283	0 14 30 66 80 84 90 114 120 176 204 260 266 290 296 300 314 350 366 380	-1248422305686
STPT(10)	1276595583230784917	0 2 60 62 72 74 84 86 144 146	-1168070105052
STPT(10)	1276595813700483959	0 2 12 14 90 92 168 170 180 182	-937600406010
SPT(16)	1276596143293295599	0 10 34 48 60 78 90 144 154 208 220 238 250 264 288 298	-608007594370
SPT(16)	1276596614249981767	0 22 30 36 46 70 72 112 144 184 186 210 220 226 234 256	-137050908202
STPT(10)	1276596690106328951	0 2 6 8 48 50 90 92 96 98	-61194561018
SPT(16)	1276596839610371689	0 4 12 90 100 148 174 180 232 238 264 312 322 400 408 412	88309481720
SPT(16)	1276597238482059797	0 6 62 72 120 132 146 156 176 186 200 212 260 270 326 332	487181169828
STPT(10)	1276597715255279897	0 2 30 32 42 44 54 56 84 86	963954389928
SPT(16)	1276597918338892313	0 36 80 84 98 110 114 128 216 230 234 246 260 264 308 344	1167038002344
SPT(16)	1276598014424591713	0 30 106 108 154 156 196 210 214 228 268 270 316 318 394 424	1263123701744