Prime p₀= 2343266748851837927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(12)	2343265155858163079	0 2 12 14 30 32 72 74 90 92 102 104	-1592993674848
SPT(16)	2343265431030954527	0 6 30 80 104 114 116 164 192 240 242 252 276 326 350 356	-1317820883400
SPT(16)	2343265577147308199	0 8 18 44 68 128 138 168 170 200 210 270 294 320 330 338	-1171704529728
SPT(16)	2343265697234031737	0 14 74 102 144 150 194 212 294 312 356 362 404 432 492 506	-1051617806190
SPT(16)	2343265825746249661	0 46 52 126 130 136 148 178 180 210 222 228 232 306 312 358	-923105588266
SPT(16)	2343266669314581233	0 6 26 54 86 98 164 230 234 300 366 378 410 438 458 464	-79537256694
SPT(16)	2343266761585024447	0 6 34 54 76 90 100 130 156 186 196 210 232 252 280 286	12733186520
SPT(16)	2343267173753725939	0 24 48 114 130 142 144 262 300 418 420 432 448 514 538 562	424901888012
SPT(16)	2343267325095741691	0 28 30 48 72 76 78 106 132 160 162 166 190 208 210 238	576243903764
STPT(10)	2343267432938324729	0 2 12 14 90 92 168 170 180 182	684086486802
SPT(16)	2343267457378997419	0 12 64 132 160 162 174 180 184 190 202 204 232 300 352 364	708527159492