Prime p₀= 2345658162967982297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2345655223320318599	0 2 20 50 72 134 140 152 240 252 258 320 342 372 390 392	-2939647663698
SPT(16)	2345656112531925929	0 38 42 60 102 108 168 198 212 242 302 308 350 368 372 410	-2050436056368
SPT(16)	2345656758236532227	0 6 14 44 86 90 126 170 216 260 296 300 342 372 380 386	-1404731450070
STPT(10)	2345657040917931071	0 2 78 80 168 170 258 260 336 338	-1122050051226
SPT(16)	2345657109845637101	0 38 56 78 90 122 150 192 206 248 276 308 320 342 360 398	-1053122345196
STPT(10)	2345657676699445349	0 2 42 44 90 92 138 140 180 182	-486268536948
STPT(10)	2345658220640310347	0 2 30 32 72 74 114 116 144 146	57672328050
SPT(16)	2345658411926164981	0 18 78 88 100 118 126 130 228 232 240 258 270 280 340 358	248958182684
SPT(16)	2345658472902570593	0 14 66 78 98 104 110 138 146 174 180 186 206 218 270 284	309934588296
STPT(10)	2345658623503641659	0 2 12 14 90 92 168 170 180 182	460535659362
STPT(10)	2345658666980190347	0 2 30 32 60 62 90 92 120 122	504012208050