Prime p₀= 3091377238930678727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Groo
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3091374996058069933	0 4 24 28 46 58 70 76 168 174 186 198 216 220 240 244	-2242872608794
STPT(10)	3091375204835078387	0 2 30 32 72 74 114 116 144 146	-2034095600340
SPT(16)	3091376170372791233	0 44 78 84 86 126 150 186 308 344 368 408 410 416 450 494	-1068557887494
SPT(16)	3091376723815058677	0 10 52 60 84 102 124 126 190 192 214 232 256 264 306 316	-515115620050
SPT(16)	3091376798910861763	0 24 40 54 60 78 106 126 148 168 196 214 220 234 250 274	-440019816964
SPT(16)	3091377083042819227	0 4 24 30 40 72 76 94 132 150 154 186 196 202 222 226	-155887859500
STPT(10)	3091377753715540769	0 2 18 20 30 32 42 44 60 62	514784862042
STPT(10)	3091377993363084251	0 2 30 32 78 80 126 128 156 158	754432405524
STPT(10)	3091378008189438041	0 2 6 8 48 50 90 92 96 98	769258759314
SPT(16)	3091378279601602349	0 24 60 74 140 144 162 164 168 170 188 192 258 272 308 332	1040670923622
STPT(10)	3091378625579462357	0 2 60 62 72 74 84 86 144 146	1386648783630