Prime p₀= 3031767271755970997 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: eclipse99
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3031766689332877747	0 6 12 130 150 186 196 202 234 240 250 286 306 424 430 436	-582423093250
SPT(16)	3031766719926966587	0 60 62 80 186 192 200 206 420 426 434 440 546 564 566 626	-551829004410
SPT(16)	3031766880372290477	0 2 20 50 54 74 96 156 200 260 282 302 306 336 354 356	-391383680520
STPT(10)	3031766894804564039	0 2 12 14 30 32 48 50 60 62	-376951406958
STPT(10)	3031766963465656847	0 2 12 14 72 74 132 134 144 146	-308290314150
SPT(16)	3031767000979378073	0 14 24 48 66 80 90 96 98 104 114 128 146 170 180 194	-270776592924
SPT(16)	3031767350947955941	0 52 66 90 100 112 126 132 136 142 156 168 178 202 216 268	79191984944
STPT(10)	3031767906202280801	0 2 6 8 48 50 90 92 96 98	634446309804
SPT(16)	3031768004000240387	0 12 26 32 72 80 102 110 126 134 156 164 204 210 224 236	732244269390
SPT(16)	3031768170842794499	0 18 42 74 110 132 134 162 200 228 230 252 288 320 344 362	899086823502
STPT(10)	3031768188069613589	0 2 18 20 60 62 102 104 120 122	916313642592