Prime p₀= 4506215416275421109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Stony666
db: batch=85, k=10, 2 46 2 10 2

SPT(16)	4506213699763952203	0 4 30 40 126 154 166 196 198 228 240 268 354 364 390 394	-1716511468906
STPT(10)	4506213704572727447	0 2 24 26 42 44 60 62 84 86	-1711702693662
SPT(16)	4506214085347355851	0 40 42 70 82 120 138 172 186 220 238 276 288 316 318 358	-1330928065258
STPT(10)	4506214632164973779	0 2 18 20 60 62 102 104 120 122	-784110447330
SPT(16)	4506215282559822121	0 28 52 96 108 112 138 148 210 220 246 250 262 306 330 358	-133715598988
STPT(10)	4506215320314396497	0 2 54 56 72 74 90 92 144 146	-95961024612
SPT(16)	4506215502980221187	0 24 26 66 80 104 120 132 224 236 252 276 290 330 332 356	86704800078
SPT(16)	4506215838968085643	0 10 76 88 90 114 136 148 156 168 190 214 216 228 294 304	422692664534
STPT(10)	4506215893282018961	0 2 48 50 168 170 288 290 336 338	477006597852
STPT(10)	4506216193117332047	0 2 12 14 72 74 132 134 144 146	776841910938
SPT(16)	4506216249616367357	0 26 42 54 66 74 110 122 144 156 192 200 212 224 240 266	833340946248