Prime p₀= 2315739927453524459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2315737793699293979	0 2 72 74 120 122 168 170 240 242	-2133754230480
STPT(10)	2315737834703788067	0 2 42 44 72 74 102 104 144 146	-2092749736392
SPT(16)	2315738221186818853	0 24 54 78 96 120 124 130 144 150 154 178 196 220 250 274	-1706266705606
STPT(10)	2315739392733681071	0 2 66 68 108 110 150 152 216 218	-534719843388
STPT(10)	2315739406265977331	0 2 6 8 48 50 90 92 96 98	-521187547128
STPT(10)	2315739567831381047	0 2 42 44 72 74 102 104 144 146	-359622143412
SPT(16)	2315739946079821117	0 42 54 70 112 124 142 184 192 234 252 264 306 322 334 376	18626296658
SPT(16)	2315740293555386363	0 18 50 74 128 164 176 194 210 228 240 276 330 354 386 404	366101861904
TPT(16)	2315740348927614899	0 2 42 44 78 80 108 110 132 134 138 140 162 164 222 224	421474090440
SPT(16)	2315740365131550767	0 42 50 102 212 224 230 270 284 324 330 342 452 504 512 554	437678026308
SPT(16)	2315741068237814593	0 18 28 70 148 154 210 280 288 358 414 420 498 540 550 568	1140784290134