Prime p₀= 2315712068888408987 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2315710539737984219	0 84 122 132 150 164 168 188 204 224 228 242 260 270 308 392	-1529150424768
TPT(14)	2315710540171620959	0 2 78 80 168 170 180 182 318 320 330 332 378 380	-1528716788028
STPT(10)	2315710607648041067	0 2 60 62 102 104 144 146 204 206	-1461240367920
SPT(16)	2315711050262211023	0 50 66 86 90 116 156 168 206 218 258 284 288 308 324 374	-1018626197964
STPT(12)	2315711572529883401	0 2 18 20 30 32 96 98 108 110 126 128	-496358525586
STPT(10)	2315711629808827301	0 2 6 8 18 20 30 32 36 38	-439079581686
SPT(16)	2315712430055693783	0 24 50 78 86 200 210 228 356 374 384 498 506 534 560 584	361167284796
SPT(16)	2315712507312856753	0 10 24 30 34 84 100 114 154 168 184 234 238 244 258 268	438424447766
SPT(16)	2315712752008326383	0 14 20 56 104 108 150 170 234 254 296 300 348 384 390 404	683119917396
SPT(13)	2315713057394822143	0 6 18 48 60 90 108 126 156 168 198 210 216	988506413156
STPT(10)	2315713122663877619	0 2 12 14 90 92 168 170 180 182	1053775468632