Prime p₀= 2312994209557647491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: Landjunge
db: batch=81, k=10, 2 124 2 40 2

STPT(10)	2312992882374275831	0 2 36 38 78 80 120 122 156 158	-1327183371660
STPT(10)	2312992962604778759	0 2 48 50 90 92 132 134 180 182	-1246952868732
SPT(16)	2312993197851485189	0 50 62 104 132 134 140 150 284 294 300 302 330 372 384 434	-1011706162302
SPT(16)	2312993532297071077	0 12 46 60 72 90 100 112 114 126 136 154 166 180 214 226	-677260576414
SPT(16)	2312993725274262557	0 24 50 66 80 86 90 102 104 116 120 126 140 156 182 206	-484283384934
STPT(10)	2312993922117663287	0 2 24 26 42 44 60 62 84 86	-287439984204
SPT(16)	2312994534894102181	0 16 28 48 58 132 156 160 258 262 286 360 370 390 402 418	325336454690
STPT(10)	2312994842754435809	0 2 12 14 30 32 48 50 60 62	633196788318
SPT(16)	2312995010894407363	0 10 60 94 96 118 208 244 270 306 396 418 420 454 504 514	801336759872
STPT(12)	2312995146568839347	0 2 30 32 60 62 264 266 294 296 324 326	937011191856
STPT(10)	2312995382456797901	0 2 30 32 78 80 126 128 156 158	1172899150410