Prime p₀= 2798489338703818607 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: Roadranner
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2798488064680928099	0 2 18 20 30 32 42 44 60 62	-1274022890508
TPT(14)	2798488224737500991	0 2 66 68 78 80 120 122 168 170 390 392 456 458	-1113966317616
STPT(10)	2798488230704810459	0 2 12 14 30 32 48 50 60 62	-1107999008148
SPT(18)	2798488397448002419	0 4 30 34 42 58 70 88 94 108 114 132 144 160 168 172 198 202	-941255816188
SPT(16)	2798488567797733651	0 18 42 46 52 60 78 102 106 130 148 156 162 166 190 208	-770906084956
STPT(10)	2798488764547596191	0 2 36 38 78 80 120 122 156 158	-574156222416
SPT(18)	2798489727079189463	0 14 36 56 60 78 126 134 138 146 150 158 206 224 228 248 270 284	388375370856
STPT(10)	2798489777602771697	0 2 30 32 42 44 54 56 84 86	438898953090
SPT(16)	2798489855913253237	0 4 40 64 114 126 130 154 156 180 184 196 246 270 306 310	517209434630
SPT(16)	2798490315747825779	0 20 38 90 98 108 110 134 168 192 194 204 212 264 282 302	977044007172
SPT(16)	2798490331522239131	0 30 72 78 92 98 138 140 198 200 240 246 260 266 308 338	992818420524