Prime p₀= 2162125272115552529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(12)	2162123186666249459	0 2 30 32 72 74 90 92 132 134 162 164	-2085449303070
STPT(10)	2162123320059814667	0 2 84 86 132 134 180 182 264 266	-1952055737862
TPT(14)	2162123406052366481	0 2 18 20 30 32 48 50 168 170 240 242 336 338	-1866063186048
SPT(16)	2162123992399306781	0 6 48 96 102 132 138 140 198 200 206 236 242 290 332 338	-1279716245748
SPT(16)	2162125181841465497	0 12 26 72 114 116 140 144 152 156 180 182 224 270 284 296	-90274087032
TPT(14)	2162125238364188681	0 2 48 50 126 128 150 152 306 308 330 332 348 350	-33751363848
STPT(10)	2162125357377993989	0 2 42 44 60 62 78 80 120 122	85262441460
SPT(16)	2162125511511631319	0 8 12 42 68 78 122 128 174 180 224 234 260 290 294 302	239396078790
STPT(10)	2162125843302553361	0 2 30 32 78 80 126 128 156 158	571187000832
STPT(12)	2162126153686738079	0 2 42 44 120 122 162 164 240 242 282 284	881571185550
SPT(16)	2162126453120273281	0 66 76 78 88 90 118 120 178 180 208 210 220 222 232 298	1181004720752