Prime p₀= 2123207765133253817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Dingo
db: batch=80, k=10, 2 10 2 58 2

TPT(14)	2123206975238411831	0 2 30 32 66 68 156 158 228 230 270 272 366 368	-789894841986
STPT(10)	2123207110945052387	0 2 54 56 132 134 210 212 264 266	-654188201430
STPT(10)	2123207179271138657	0 2 54 56 72 74 90 92 144 146	-585862115160
SPT(16)	2123207369996376707	0 26 60 66 72 92 162 176 186 200 270 290 296 302 336 362	-395136877110
SPT(16)	2123207476820309701	0 6 28 52 70 76 82 96 112 126 132 138 156 180 202 208	-288312944116
STPT(10)	2123207569464797951	0 2 36 38 78 80 120 122 156 158	-195668455866
TPT(16)	2123208041862725009	0 2 90 92 150 152 168 170 210 212 258 260 342 344 360 362	276729471192
SPT(16)	2123208997382873431	0 10 30 58 66 96 118 148 168 198 220 250 258 286 306 316	1232249619614
TPT(14)	2123209248289996511	0 2 108 110 168 170 240 242 306 308 318 320 390 392	1483156742694
STPT(12)	2123209660851341939	0 2 30 32 42 44 48 50 60 62 90 92	1895718088122
SPT(16)	2123209931571803323	0 30 34 36 58 60 78 84 160 166 184 186 208 210 214 244	2166438549506