Prime p₀= 1069375125604826021 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: Theadalus
db: batch=76, k=10, 2 34 2 40 2

TPT(14)	1069374499668987761	0 2 30 32 96 98 138 140 168 170 198 200 240 242	-625935838260
STPT(10)	1069374499668987857	0 2 42 44 72 74 102 104 144 146	-625935838164
SPT(16)	1069374639874216567	0 12 24 100 112 126 166 250 306 390 430 444 456 532 544 556	-485730609454
SPT(16)	1069374861660314147	0 2 12 14 32 50 74 102 134 162 186 204 222 224 234 236	-263944511874
STPT(10)	1069374985801798691	0 2 36 38 78 80 120 122 156 158	-139803027330
STPT(10)	1069375006641131159	0 2 12 14 30 32 48 50 60 62	-118963694862
STPT(10)	1069375130739439619	0 2 18 20 30 32 42 44 60 62	5134613598
STPT(10)	1069375274159182517	0 2 90 92 102 104 114 116 204 206	148554356496
SPT(16)	1069375345833106471	0 40 42 46 52 60 66 76 222 232 238 246 252 256 258 298	220228280450
STPT(10)	1069375353558441887	0 2 42 44 72 74 102 104 144 146	227953615866
SPT(16)	1069375602077835163	0 4 60 96 100 126 174 196 228 250 298 324 328 364 420 424	476473009142