Prime p₀= 756500463825953027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: GLeeM
db: batch=73, k=10, 2 22 2 16 2

STPT(12)	756498941230507289	0 2 12 14 42 44 48 50 78 80 90 92	-1522595445738
TPT(14)	756499051428454679	0 2 42 44 48 50 78 80 90 92 120 122 198 200	-1412397498348
STPT(10)	756499302303781241	0 2 6 8 18 20 30 32 36 38	-1161522171786
SPT(16)	756499529241858977	0 2 24 26 42 80 86 102 164 180 186 224 240 242 264 266	-934584094050
STPT(10)	756500152673143421	0 2 6 8 48 50 90 92 96 98	-311152809606
SPT(16)	756500435285432473	0 10 70 150 166 180 198 216 220 238 256 270 286 366 426 436	-28540520554
STPT(10)	756500609000358161	0 2 36 38 78 80 120 122 156 158	145174405134
STPT(10)	756500712577062161	0 2 36 38 78 80 120 122 156 158	248751109134
TPT(14)	756500745137895137	0 2 30 32 132 134 174 176 204 206 210 212 240 242	281311942110
SPT(16)	756500912756190541	0 36 42 76 88 112 148 150 238 240 276 300 312 346 352 388	448930237514
SPT(16)	756500983462559971	0 12 28 58 60 76 82 130 138 186 192 208 210 240 256 268	519636606944