Prime p₀= 2112278401409596109 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=80, k=10, 2 16 2 10 2

SPT(16)	2112277738962072433	0 30 36 48 66 90 96 138 178 220 226 250 268 280 286 316	-662447523676
SPT(16)	2112277770714570271	0 40 42 72 102 148 150 196 222 268 270 316 346 376 378 418	-630695025838
STPT(10)	2112277960742389079	0 2 48 50 90 92 132 134 180 182	-440667207030
STPT(10)	2112277973762611157	0 2 24 26 42 44 60 62 84 86	-427646984952
STPT(10)	2112278103471373001	0 2 48 50 108 110 168 170 216 218	-297938223108
TPT(14)	2112278383348531631	0 2 60 62 156 158 186 188 210 212 228 230 336 338	-18061064478
TPT(14)	2112278552008924919	0 2 48 50 102 104 138 140 240 242 252 254 468 470	150599328810
SPT(16)	2112279187761646663	0 28 40 48 100 106 126 180 184 238 258 264 316 324 336 364	786352050554
SPT(16)	2112279198280847741	0 26 36 48 60 78 126 138 188 200 248 266 278 290 300 326	796871251632
STPT(10)	2112279200858302031	0 2 6 8 48 50 90 92 96 98	799448705922
STPT(10)	2112279225707663531	0 2 36 38 78 80 120 122 156 158	824298067422