Prime p₀= 2313407972808685349 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: Drago75
db: batch=81, k=10, 2 40 2 16 2

TPT(14)	2313407542531663871	0 2 18 20 66 68 138 140 150 152 168 170 276 278	-430277021478
SPT(16)	2313407595229492709	0 48 62 68 72 110 120 122 138 140 150 188 192 198 212 260	-377579192640
SPT(16)	2313407638539959821	0 10 30 40 60 82 100 112 126 138 156 178 198 208 228 238	-334268725528
STPT(12)	2313407698288660157	0 2 30 32 42 44 72 74 84 86 114 116	-274520025192
SPT(16)	2313407700309651677	0 2 14 30 36 50 72 92 264 284 306 320 326 342 354 356	-272499033672
SPT(16)	2313407700523387397	0 20 86 102 156 200 230 252 254 276 306 350 404 420 486 506	-272285297952
TPT(14)	2313408186057047309	0 2 42 44 102 104 138 140 168 170 180 182 192 194	213248361960
SPT(16)	2313408262097166877	0 60 70 82 100 102 112 126 130 144 154 156 174 186 196 256	289288481528
SPT(16)	2313408380241238613	0 48 98 104 114 116 194 198 296 300 378 380 390 396 446 494	407432553264
STPT(10)	2313408395814482567	0 2 30 32 42 44 54 56 84 86	423005797218
SPT(16)	2313408457312942777	0 12 30 46 90 100 120 124 162 166 186 196 240 256 274 286	484504257428