Prime p₀= 2039131546745581817 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2039130177716592869	0 2 18 20 30 32 42 44 60 62	-1369028988948
STPT(10)	2039130265538290751	0 2 30 32 78 80 126 128 156 158	-1281207291066
SPT(16)	2039130588248225827	0 12 36 40 132 144 166 174 202 210 232 244 336 340 364 376	-958497355990
TPT(14)	2039130649178272577	0 2 42 44 54 56 72 74 90 92 144 146 174 176	-897567309240
STPT(10)	2039130937981094051	0 2 6 8 48 50 90 92 96 98	-608764487766
SPT(16)	2039131308615986071	0 6 42 90 100 102 130 138 160 168 196 198 208 256 292 298	-238129595746
SPT(16)	2039131748686611563	0 50 56 96 110 138 140 158 186 204 206 234 248 288 294 344	201941029746
STPT(10)	2039131829370774947	0 2 12 14 42 44 72 74 84 86	282625193130
SPT(16)	2039131836003400273	0 6 36 46 78 160 168 178 186 196 204 286 318 328 358 364	289257818456
STPT(10)	2039132473307651081	0 2 6 8 48 50 90 92 96 98	926562069264
STPT(10)	2039132489897100737	0 2 60 62 72 74 84 86 144 146	943151518920