Prime p₀= 2323293196165267691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: eclipse99
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2323291815531881531	0 2 32 50 60 80 86 156 212 282 288 308 318 336 366 368	-1380633386160
STPT(10)	2323292056421828159	0 2 108 110 180 182 252 254 360 362	-1139743439532
STPT(10)	2323292227155303977	0 2 42 44 72 74 102 104 144 146	-969009963714
SPT(16)	2323292248710169691	0 26 30 96 110 126 140 168 218 246 260 276 290 356 360 386	-947455098000
SPT(16)	2323292415874319653	0 36 58 60 78 108 130 148 228 246 268 298 316 318 340 376	-780290948038
SPT(16)	2323292494980195887	0 12 14 26 56 74 80 114 122 156 162 180 210 222 224 236	-701185071804
STPT(10)	2323293204998380187	0 2 60 62 72 74 84 86 144 146	8833112496
TPT(14)	2323293339617166689	0 2 108 110 132 134 192 194 210 212 222 224 288 290	143451898998
STPT(10)	2323293506047867037	0 2 24 26 42 44 60 62 84 86	309882599346
STPT(10)	2323293662959655987	0 2 12 14 42 44 72 74 84 86	466794388296
SPT(16)	2323293813685711159	0 30 40 54 118 130 132 184 198 250 252 264 328 342 352 382	617520443468