Prime p₀= 2069836008066937109 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: Ben
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2069834387845049249	0 30 42 48 54 68 128 134 138 144 204 218 224 230 242 272	-1620221887860
SPT(16)	2069834535566851993	0 4 16 24 88 118 136 150 154 168 186 216 280 288 300 304	-1472500085116
SPT(16)	2069834711524155143	0 14 50 54 74 138 168 176 228 236 266 330 350 354 390 404	-1296542781966
SPT(16)	2069834822442233879	0 18 32 60 62 68 90 158 204 272 294 300 302 330 344 362	-1185624703230
STPT(10)	2069835515929746749	0 2 18 20 30 32 42 44 60 62	-492137190360
STPT(10)	2069835776414480741	0 2 6 8 18 20 30 32 36 38	-231652456368
STPT(12)	2069836277909428079	0 2 18 20 42 44 78 80 102 104 120 122	269842490970
STPT(10)	2069836451596568951	0 2 6 8 18 20 30 32 36 38	443529631842
STPT(10)	2069836544966723147	0 2 24 26 42 44 60 62 84 86	536899786038
TPT(14)	2069836766443368467	0 2 54 56 114 116 150 152 210 212 240 242 282 284	758376431358
SPT(16)	2069836819466478289	0 22 24 30 34 52 100 132 142 174 222 240 244 250 252 274	811399541180