Prime p₀= 1412092676127879827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=78, k=10, 2 40 2 28 2

SPT(16)	1412091588526318039	0 4 18 40 42 64 70 72 130 132 138 160 162 184 198 202	-1087601561788
STPT(10)	1412091663300681017	0 2 12 14 72 74 132 134 144 146	-1012827198810
SPT(16)	1412091811761383689	0 70 82 88 100 138 160 184 198 222 244 282 294 300 312 382	-864366496138
TPT(14)	1412091837330584831	0 2 36 38 120 122 156 158 198 200 210 212 288 290	-838797294996
TPT(14)	1412092238730336179	0 2 18 20 30 32 42 44 198 200 210 212 330 332	-437397543648
SPT(16)	1412092350957587503	0 66 78 84 100 136 138 150 184 196 198 234 250 256 268 334	-325170292324
SPT(16)	1412092843096073041	0 28 36 60 82 88 96 102 106 112 120 126 148 172 180 208	166968193214
STPT(10)	1412092960934672459	0 2 18 20 60 62 102 104 120 122	284806792632
STPT(10)	1412092961720750117	0 2 12 14 42 44 72 74 84 86	285592870290
SPT(16)	1412093000231571403	0 4 36 64 70 100 114 174 196 256 270 300 306 334 366 370	324103691576
SPT(16)	1412093067020452549	0 18 24 28 40 64 82 102 130 150 168 192 204 208 214 232	390892572722