Prime p₀= 3004293556850206739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	3004292579258046689	0 2 18 20 30 32 42 44 60 62	-977592160050
SPT(16)	3004292654555838419	0 14 20 50 72 92 114 132 182 200 222 242 264 294 300 314	-902294368320
SPT(16)	3004292700204714943	0 6 16 96 118 120 126 136 138 148 154 156 178 258 268 274	-856645491796
SPT(16)	3004292776105922827	0 4 10 30 40 84 96 106 144 154 166 210 220 240 246 250	-780744283912
SPT(16)	3004293346465635461	0 12 32 42 72 80 182 186 206 210 312 320 350 360 380 392	-210384571278
STPT(10)	3004293481643474789	0 2 18 20 30 32 42 44 60 62	-75206731950
SPT(16)	3004293649255149533	0 50 66 80 90 104 164 174 200 210 270 284 294 308 324 374	92404942794
SPT(16)	3004293876009202109	0 2 68 78 104 128 170 188 204 222 264 288 314 324 390 392	319158995370
TPT(14)	3004294182740276681	0 2 36 38 78 80 126 128 138 140 210 212 246 248	625890069942
STPT(10)	3004294698206149877	0 2 42 44 72 74 102 104 144 146	1141355943138
STPT(10)	3004294730675152667	0 2 30 32 42 44 54 56 84 86	1173824945928