Prime p₀= 2234949917378177339 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2234948743268131069	0 4 12 34 54 78 138 144 148 154 214 238 258 280 288 292	-1174110046270
SPT(16)	2234949034131369607	0 6 34 60 72 76 84 90 226 232 240 244 256 282 310 316	-883246807732
SPT(16)	2234949093345968807	0 26 44 90 120 164 174 192 194 212 222 266 296 342 360 386	-824032208532
STPT(12)	2234949110978196839	0 2 42 44 48 50 72 74 78 80 120 122	-806399980500
SPT(16)	2234949299377735933	0 6 10 70 88 90 156 180 214 238 304 306 324 384 388 394	-618000441406
SPT(16)	2234949599992393541	0 8 26 56 60 66 78 96 122 140 152 158 162 192 210 218	-317385783798
STPT(10)	2234950125696761069	0 2 18 20 60 62 102 104 120 122	208318583730
SPT(16)	2234950185625762043	0 36 38 84 98 150 168 216 218 266 284 336 350 396 398 434	268247584704
SPT(16)	2234950239738792409	0 10 30 52 64 108 142 168 214 240 274 318 330 352 372 382	322360615070
STPT(10)	2234950272564757217	0 2 30 32 42 44 54 56 84 86	355186579878
STPT(10)	2234950481693213741	0 2 30 32 120 122 210 212 240 242	564315036402