Prime p₀= 2309658810148959077 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2309656647113955901	0 12 48 72 90 102 112 138 172 198 208 220 238 262 298 310	-2163035003176
SPT(16)	2309657000103453079	0 28 48 60 70 72 78 112 120 154 160 162 172 184 204 232	-1810045505998
SPT(16)	2309657039531933459	0 14 32 44 78 102 194 200 222 228 320 344 378 390 408 422	-1770617025618
STPT(10)	2309657258044273349	0 2 42 44 120 122 198 200 240 242	-1552104685728
TPT(14)	2309658296975779721	0 2 138 140 228 230 240 242 270 272 306 308 360 362	-513173179356
SPT(16)	2309658538081919987	0 30 44 56 72 92 134 176 210 252 294 314 330 342 356 386	-272067039090
SPT(16)	2309658857140334989	0 24 28 48 58 70 90 100 102 112 132 144 154 174 178 202	46991375912
TPT(14)	2309658879559488227	0 2 42 44 84 86 222 224 324 326 330 332 390 392	69410529150
STPT(10)	2309659150302834311	0 2 36 38 78 80 120 122 156 158	340153875234
STPT(10)	2309659156339412201	0 2 30 32 78 80 126 128 156 158	346190453124
STPT(10)	2309659591667240999	0 2 18 20 30 32 42 44 60 62	781518281922