Prime p₀= 2315858467407649037 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2315856753372260821	0 28 72 120 130 142 150 220 378 448 456 468 478 526 570 598	-1714035388216
SPT(16)	2315856947610339877	0 22 60 76 112 126 132 142 174 184 190 204 240 256 294 316	-1519797309160
STPT(10)	2315857088823640289	0 2 48 50 90 92 132 134 180 182	-1378584008748
TPT(14)	2315857375445856689	0 2 30 32 108 110 150 152 252 254 360 362 402 404	-1091961792348
STPT(10)	2315857716995289947	0 2 30 32 42 44 54 56 84 86	-750412359090
SPT(16)	2315858376104404091	0 50 60 98 102 108 122 132 158 168 182 188 192 230 240 290	-91303244946
SPT(16)	2315858486782439881	0 28 52 58 60 66 168 190 318 340 442 448 450 456 480 508	19374790844
SPT(18)	2315858510223575929	0 42 72 78 100 112 118 154 160 192 198 234 240 252 274 280 310 352	42815926892
SPT(16)	2315858559880670863	0 60 64 76 78 120 126 130 144 148 154 196 198 210 214 274	92473021826
SPT(16)	2315858686743416233	0 4 24 70 84 118 138 160 234 256 276 310 324 370 390 394	219335767196
STPT(10)	2315858957549551187	0 2 42 44 72 74 102 104 144 146	490141902150