Prime p₀= 2704168155807230009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2704165926527555531	0 18 20 42 48 98 158 228 272 342 402 452 458 480 482 500	-2229279674478
STPT(10)	2704166040342117677	0 2 30 32 42 44 54 56 84 86	-2115465112332
SPT(18)	2704166584085531563	0 18 40 78 108 120 124 126 154 270 298 300 304 316 346 384 406 424	-1571721698446
TPT(14)	2704166727416005931	0 2 60 62 186 188 198 200 210 212 288 290 300 302	-1428391224078
SPT(16)	2704167258869340599	0 32 38 74 102 104 152 164 168 180 228 230 258 294 300 332	-896937889410
SPT(16)	2704167680244147167	0 30 56 66 86 110 134 140 150 156 180 204 224 234 260 290	-475563082842
STPT(10)	2704168222199009747	0 2 24 26 42 44 60 62 84 86	66391779738
STPT(10)	2704168485643803677	0 2 30 32 102 104 174 176 204 206	329836573668
STPT(10)	2704168498305011819	0 2 12 14 90 92 168 170 180 182	342497781810
SPT(16)	2704168785089419093	0 4 18 76 78 136 228 316 468 556 648 706 708 766 780 784	629282189084
TPT(14)	2704168834249702451	0 2 36 38 90 92 126 128 168 170 216 218 258 260	678442472442