Prime p₀= 2123592874436681897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Dingo
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2123591973017113799	0 2 12 14 90 92 168 170 180 182	-901419568098
SPT(16)	2123592146686659767	0 2 20 54 60 72 110 122 174 186 224 236 242 276 294 296	-727750022130
STPT(10)	2123592221604640247	0 2 24 26 42 44 60 62 84 86	-652832041650
STPT(10)	2123592362926873217	0 2 30 32 42 44 54 56 84 86	-511509808680
SPT(16)	2123592487885278601	0 16 52 78 88 90 118 192 196 270 298 300 310 336 372 388	-386551403296
SPT(16)	2123592521660779087	0 22 46 66 72 94 102 120 136 154 162 184 190 210 234 256	-352775902810
SPT(16)	2123593153497183107	0 6 12 20 26 36 54 104 132 182 200 210 216 224 230 236	279060501210
SPT(16)	2123593254292391509	0 12 34 40 70 78 90 94 108 112 124 132 162 168 190 202	379855709612
STPT(10)	2123593276171581041	0 2 36 38 78 80 120 122 156 158	401734899144
TPT(14)	2123593400181672077	0 2 162 164 180 182 192 194 204 206 222 224 294 296	525744990180
STPT(10)	2123593400181672239	0 2 18 20 30 32 42 44 60 62	525744990342