Prime p₀= 1016477546973690647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Spectrum
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1016476453959123977	0 2 30 32 42 44 54 56 84 86	-1093014566670
SPT(16)	1016476854336852653	0 20 56 78 104 134 138 150 164 176 180 210 236 258 294 314	-692636837994
STPT(10)	1016476979146928729	0 2 78 80 150 152 222 224 300 302	-567826761918
SPT(16)	1016477002820075981	0 6 32 60 78 86 98 122 126 150 162 170 188 216 242 248	-544153614666
SPT(16)	1016477334773990189	0 2 18 20 38 104 128 140 192 204 228 294 312 314 330 332	-212199700458
STPT(10)	1016477471001456941	0 2 120 122 138 140 156 158 276 278	-75972233706
STPT(10)	1016477573354204957	0 2 30 32 72 74 114 116 144 146	26380514310
SPT(16)	1016477659658639819	0 20 62 92 102 120 138 168 194 224 242 260 270 300 342 362	112684949172
SPT(16)	1016477828740691399	0 18 20 68 90 120 134 162 200 228 242 272 294 342 344 362	281767000752
TPT(14)	1016478523385039639	0 2 12 14 150 152 198 200 210 212 222 224 288 290	976411348992
SPT(16)	1016478954706641431	0 26 68 80 120 150 168 186 200 218 236 266 306 318 360 386	1407732950784