Prime p₀= 1028514948507646667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1028513640391766939	0 2 12 14 90 92 168 170 180 182	-1308115879728
TPT(14)	1028513841390449339	0 2 72 74 90 92 102 104 198 200 228 230 342 344	-1107117197328
SPT(16)	1028514058799492621	0 6 38 98 110 116 146 152 186 192 222 228 240 300 332 338	-889708154046
TPT(14)	1028514131735153879	0 2 12 14 48 50 90 92 102 104 132 134 168 170	-816772492788
SPT(16)	1028514818121774829	0 28 30 40 112 114 132 138 154 160 178 180 252 262 264 292	-130385871838
SPT(16)	1028514823298780281	0 10 46 52 70 76 106 150 172 216 246 252 270 276 312 322	-125208866386
STPT(10)	1028515270601231591	0 2 6 8 48 50 90 92 96 98	322093584924
SPT(16)	1028515319779012469	0 20 24 32 54 68 78 92 150 164 174 188 210 218 222 242	371271365802
SPT(16)	1028516036978888519	0 14 20 24 84 90 92 120 122 150 152 158 218 222 228 242	1088471241852
SPT(16)	1028516186962923389	0 2 12 20 44 90 108 128 174 194 212 258 282 290 300 302	1238455276722
STPT(10)	1028516454070550111	0 2 6 8 18 20 30 32 36 38	1505562903444