Prime p₀= 2412126770532637757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2412125635176880907	0 6 56 84 96 144 162 176 180 194 212 260 272 300 350 356	-1135355756850
TPT(14)	2412125825320032929	0 2 18 20 48 50 90 92 162 164 228 230 252 254	-945212604828
SPT(16)	2412125827744563193	0 18 28 40 60 70 130 138 148 156 216 226 246 258 268 286	-942788074564
SPT(16)	2412125878274060183	0 44 50 56 60 126 134 144 200 210 218 284 288 294 300 344	-892258577574
SPT(16)	2412125892398237153	0 6 20 24 66 110 138 146 168 176 204 248 290 294 308 314	-878134400604
STPT(10)	2412126357864006557	0 2 54 56 72 74 90 92 144 146	-412668631200
TPT(14)	2412126962316747407	0 2 30 32 54 56 132 134 144 146 174 176 222 224	191784109650
SPT(16)	2412127913275442959	0 42 60 64 70 102 120 132 190 202 220 252 258 262 280 322	1142742805202
STPT(10)	2412128493763807079	0 2 18 20 30 32 42 44 60 62	1723231169322
SPT(16)	2412129075764473973	0 74 98 134 140 176 186 188 216 218 228 264 270 306 330 404	2305231836216
TPT(14)	2412129226981452101	0 2 6 8 30 32 48 50 90 92 168 170 180 182	2456448814344