Prime p₀= 2417685883159434887 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2417683756249919671	0 12 28 52 90 120 160 166 192 198 238 268 306 330 346 358	-2126909515216
STPT(10)	2417683761594523031	0 2 30 32 78 80 126 128 156 158	-2121564911856
SPT(16)	2417684630747766377	0 32 44 62 86 90 116 156 170 210 236 240 264 282 294 326	-1252411668510
SPT(16)	2417684913682767907	0 6 12 40 70 76 100 106 126 132 156 162 192 220 226 232	-969476666980
STPT(10)	2417685012501641711	0 2 6 8 48 50 90 92 96 98	-870657793176
STPT(12)	2417685031178673827	0 2 30 32 42 44 72 74 84 86 114 116	-851980761060
SPT(16)	2417686006169333729	0 8 20 42 78 84 98 162 200 264 278 284 320 342 354 362	123009898842
STPT(10)	2417686139157701297	0 2 30 32 72 74 114 116 144 146	255998266410
STPT(10)	2417686520549219999	0 2 48 50 60 62 72 74 120 122	637389785112
TPT(14)	2417686713511723391	0 2 6 8 36 38 90 92 138 140 168 170 258 260	830352288504
TPT(14)	2417686781783746391	0 2 90 92 120 122 156 158 198 200 228 230 246 248	898624311504