Prime p₀= 2123354496888359237 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=80, k=10, 2 22 2 16 2

STPT(10)	2123353555646125469	0 2 42 44 60 62 78 80 120 122	-941242233768
STPT(10)	2123353960866729947	0 2 30 32 72 74 114 116 144 146	-536021629290
SPT(16)	2123354118094855369	0 28 34 48 52 78 100 114 118 132 154 180 184 198 204 232	-378793503868
STPT(10)	2123354213706116021	0 2 36 38 78 80 120 122 156 158	-283182243216
SPT(16)	2123354446521924769	0 4 10 54 84 88 112 130 132 150 174 178 208 252 258 262	-50366434468
SPT(16)	2123354494776256243	0 64 126 168 186 204 238 250 294 306 340 358 376 418 480 544	-2112102994
SPT(16)	2123354891980758343	0 6 34 36 66 108 130 144 220 234 256 298 328 330 358 364	395092399106
SPT(16)	2123354938940962481	0 2 80 156 206 228 258 282 476 500 530 552 602 678 756 758	442052603244
TPT(14)	2123355163638947009	0 2 48 50 72 74 78 80 210 212 312 314 342 344	666750587772
SPT(16)	2123355316610885017	0 22 30 82 84 96 100 124 192 216 220 232 234 286 294 316	819722525780
STPT(10)	2123355318715707281	0 2 6 8 18 20 30 32 36 38	821827348044