Prime p₀= 2356378841075157761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: arkiss
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2356378039132159709	0 2 18 20 30 32 42 44 60 62	-801942998052
STPT(10)	2356378086870355907	0 2 60 62 102 104 144 146 204 206	-754204801854
SPT(16)	2356378432172874349	0 18 30 52 60 108 132 168 262 298 322 370 378 400 412 430	-408902283412
SPT(18)	2356378537835200129	0 52 60 108 184 220 238 250 258 304 312 324 342 378 454 502 510 562	-303239957632
SPT(16)	2356378569812011067	0 26 42 60 86 92 120 176 186 242 270 276 302 320 336 362	-271263146694
STPT(10)	2356378831090141997	0 2 42 44 72 74 102 104 144 146	-9985015764
STPT(10)	2356379028585011357	0 2 42 44 72 74 102 104 144 146	187509853596
SPT(16)	2356379159043091801	0 10 12 36 40 58 72 78 100 106 120 138 142 166 168 178	317967934040
STPT(10)	2356379271428016227	0 2 30 32 42 44 54 56 84 86	430352858466
SPT(16)	2356379291388407899	0 28 54 64 78 144 148 154 204 210 214 280 294 304 330 358	450313250138
SPT(16)	2356379530946784587	0 6 14 26 44 72 110 156 170 216 254 282 300 312 320 326	689871626826