Prime p₀= 1233812997831626039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1233812394084338461	0 12 28 66 78 130 136 138 220 222 228 280 292 330 346 358	-603747287578
STPT(10)	1233812590599526919	0 2 42 44 60 62 78 80 120 122	-407232099120
STPT(10)	1233812768640594809	0 2 78 80 120 122 162 164 240 242	-229191031230
SPT(16)	1233812802619204681	0 18 48 60 70 100 142 156 172 186 228 258 268 280 310 328	-195212421358
STPT(10)	1233812948445754217	0 2 30 32 72 74 114 116 144 146	-49385871822
STPT(10)	1233812973774789827	0 2 12 14 42 44 72 74 84 86	-24056836212
STPT(10)	1233813318672317531	0 2 30 32 78 80 126 128 156 158	320840691492
SPT(16)	1233813617792202859	0 42 90 112 124 178 244 300 382 438 504 558 570 592 640 682	619960576820
SPT(16)	1233813619978926803	0 20 50 56 84 116 150 174 260 284 318 350 378 384 414 434	622147300764
STPT(10)	1233813630753406907	0 2 12 14 42 44 72 74 84 86	632921780868
SPT(16)	1233813697290867631	0 28 30 58 100 136 142 156 232 246 252 288 330 358 360 388	699459241592