Prime p₀= 2434458496645586867 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2434456571027883317	0 2 12 14 24 26 60 62 102 104 114 116 240 242	-1925617703550
SPT(16)	2434456777863383513	0 6 36 44 60 120 128 170 174 216 224 284 300 308 338 344	-1718782203354
STPT(10)	2434456824117332429	0 2 18 20 30 32 42 44 60 62	-1672528254438
STPT(10)	2434457303529715811	0 2 6 8 48 50 90 92 96 98	-1193115871056
STPT(10)	2434457407734248681	0 2 36 38 78 80 120 122 156 158	-1088911338186
SPT(16)	2434457935459110199	0 42 52 60 88 112 130 168 244 282 300 324 352 360 370 412	-561186476668
SPT(16)	2434458704336572079	0 24 62 74 90 104 152 180 194 222 270 284 300 312 350 374	207690985212
SPT(16)	2434458999281141683	0 16 28 34 58 78 190 210 244 264 376 396 420 426 438 454	502635554816
STPT(12)	2434459127668816019	0 2 78 80 90 92 120 122 132 134 210 212	631023229152
SPT(16)	2434459130158974599	0 2 38 42 48 80 98 114 158 174 192 224 230 234 270 272	633513387732
SPT(16)	2434459346997064157	0 30 36 44 56 66 80 114 122 156 170 180 192 200 206 236	850351477290