Prime p₀= 1014578246028726719 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=76, k=10, 2 16 2 10 2

SPT(16)	1014577603636335353	0 20 24 38 44 80 84 90 104 110 114 150 156 170 174 194	-642392391366
STPT(10)	1014577772382807299	0 2 18 20 30 32 42 44 60 62	-473645919420
SPT(16)	1014577953913348541	0 2 6 30 62 66 68 96 182 210 212 216 248 272 276 278	-292115378178
STPT(10)	1014578062190362721	0 2 6 8 18 20 30 32 36 38	-183838363998
SPT(16)	1014578091620377639	0 54 78 102 120 124 132 138 154 160 168 172 190 214 238 292	-154408349080
SPT(16)	1014578178723320791	0 42 72 82 108 118 132 150 160 178 192 202 228 238 268 310	-67305405928
STPT(10)	1014578447980416461	0 2 6 8 18 20 30 32 36 38	201951689742
SPT(16)	1014578802079625561	0 32 50 56 116 122 132 146 162 176 186 192 252 258 276 308	556050898842
TPT(14)	1014578957476876577	0 2 84 86 90 92 102 104 132 134 144 146 210 212	711448149858
SPT(16)	1014579100464479579	0 18 30 38 84 98 110 164 198 252 264 278 324 332 344 362	854435752860
SPT(16)	1014579282984386947	0 6 42 64 66 72 142 154 192 204 274 280 282 304 340 346	1036955660228