Prime p₀= 2616878765700409277 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2616877769959674677	0 2 30 32 42 44 54 56 84 86	-995740734600
SPT(16)	2616877879404339407	0 42 110 114 120 164 194 224 330 360 390 434 440 444 512 554	-886296069870
STPT(10)	2616877881559900097	0 2 60 62 72 74 84 86 144 146	-884140509180
STPT(10)	2616877935784395947	0 2 42 44 72 74 102 104 144 146	-829916013330
SPT(16)	2616878112060927469	0 30 132 150 208 238 262 318 352 408 432 462 520 538 640 670	-653639481808
SPT(16)	2616878516527919489	0 42 74 108 174 180 182 200 222 240 242 248 314 348 380 422	-249172489788
SPT(16)	2616879191763278843	0 56 84 90 108 144 156 186 188 218 230 266 284 290 318 374	426062869566
SPT(16)	2616879202789255717	0 4 22 40 70 82 124 126 130 132 174 186 216 234 252 256	437088846440
SPT(16)	2616880066633079777	0 6 66 80 96 104 110 122 204 216 222 230 246 260 320 326	1300932670500
SPT(16)	2616880189995804413	0 14 24 30 50 74 80 120 128 168 174 198 218 224 234 248	1424295395136
SPT(16)	2616880395763919473	0 34 66 70 94 108 136 156 178 198 226 240 264 268 300 334	1630063510196