Prime p₀= 2164052333195983187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2164051100279434943	0 44 98 120 140 168 170 174 254 258 260 288 308 330 384 428	-1232916548244
SPT(16)	2164051165168605043	0 70 94 100 126 130 136 160 210 234 240 244 270 276 300 370	-1168027378144
SPT(16)	2164051292919988079	0 12 48 60 144 150 254 290 342 378 482 488 572 584 620 632	-1040275995108
SPT(16)	2164051573817637451	0 10 30 52 58 76 82 96 112 126 132 150 156 178 198 208	-759378345736
STPT(10)	2164051812651215519	0 2 42 44 90 92 138 140 180 182	-520544767668
SPT(13)	2164052137662769007	0 24 54 66 84 90 150 210 216 234 246 276 300	-195533214180
STPT(10)	2164052720882787401	0 2 6 8 18 20 30 32 36 38	387686804214
SPT(16)	2164052755656186589	0 10 42 52 64 82 90 94 120 124 132 150 162 172 204 214	422460203402
SPT(16)	2164053165046648241	0 60 62 66 72 78 158 212 246 300 380 386 392 396 398 458	831850665054
STPT(10)	2164053184790025161	0 2 6 8 48 50 90 92 96 98	851594041974
SPT(16)	2164053191649747617	0 6 14 20 32 36 60 74 192 206 230 234 246 252 260 266	858453764430