Prime p₀= 1314022168326610667 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1314020515353476519	0 18 50 68 110 138 144 162 200 218 224 252 294 312 344 362	-1652973134148
STPT(12)	1314020547180451091	0 2 36 38 48 50 78 80 90 92 126 128	-1621146159576
SPT(13)	1314021240479955311	0 12 30 42 90 96 126 156 162 210 222 240 252	-927846655356
TPT(14)	1314021241062496619	0 2 72 74 78 80 90 92 228 230 240 242 300 302	-927264114048
TPT(14)	1314021625605560717	0 2 30 32 60 62 84 86 102 104 180 182 264 266	-542721049950
STPT(10)	1314021918342681809	0 2 18 20 30 32 42 44 60 62	-249983928858
SPT(16)	1314022234726219451	0 20 26 32 42 56 72 80 132 140 156 170 180 186 192 212	66399608784
STPT(10)	1314022400916964001	0 2 6 8 48 50 90 92 96 98	232590353334
STPT(10)	1314022533040040597	0 2 12 14 72 74 132 134 144 146	364713429930
SPT(16)	1314022936189312813	0 10 36 46 70 84 136 150 154 168 220 234 258 268 294 304	767862702146
SPT(16)	1314023291261801447	0 66 74 104 122 132 150 162 164 176 194 204 222 252 260 326	1122935190780