Prime p₀= 4305829256916674957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4305826840964612669	0 30 38 44 90 104 114 132 140 158 168 182 228 234 242 272	-2415952062288
STPT(10)	4305827701012072559	0 2 18 20 60 62 102 104 120 122	-1555904602398
SPT(16)	4305828450879824243	0 44 60 90 114 170 174 200 240 266 270 326 350 380 396 440	-806036850714
TPT(14)	4305828640432699949	0 2 30 32 60 62 72 74 240 242 252 254 288 290	-616483975008
SPT(16)	4305828873631857881	0 26 30 38 72 86 92 96 152 156 162 176 210 218 222 248	-383284817076
STPT(10)	4305829164257521427	0 2 90 92 102 104 114 116 204 206	-92659153530
SPT(16)	4305829280752005551	0 30 62 68 72 132 168 180 230 242 278 338 342 348 380 410	23835330594
STPT(10)	4305829538974073021	0 2 6 8 18 20 30 32 36 38	282057398064
SPT(16)	4305829625340452423	0 18 26 44 54 96 126 128 156 158 188 230 240 258 266 284	368423777466
SPT(16)	4305829732492690799	0 12 20 60 62 122 144 290 294 440 462 522 524 564 572 584	475576015842
TPT(14)	4305829848781491689	0 2 42 44 72 74 138 140 150 152 168 170 192 194	591864816732