Prime p₀= 2730119801339681627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2730118215124772531	0 2 36 38 48 50 78 80 90 92 168 170 180 182	-1586214909096
SPT(16)	2730118720975695671	0 26 56 86 90 98 108 152 186 230 240 248 252 282 312 338	-1080363985956
STPT(10)	2730118797072481817	0 2 30 32 60 62 90 92 120 122	-1004267199810
STPT(10)	2730118987753849589	0 2 18 20 60 62 102 104 120 122	-813585832038
SPT(16)	2730119576547318881	0 32 38 48 72 90 92 98 150 156 158 176 200 210 216 248	-224792362746
SPT(16)	2730119639762623711	0 36 58 82 150 210 220 292 306 378 388 448 516 540 562 598	-161577057916
STPT(10)	2730119849936700017	0 2 24 26 42 44 60 62 84 86	48597018390
SPT(16)	2730119891943659543	0 6 14 26 74 96 104 116 138 150 158 180 228 240 248 254	90603977916
STPT(10)	2730119960014059761	0 2 36 38 78 80 120 122 156 158	158674378134
TPT(14)	2730120006695509457	0 2 30 32 54 56 120 122 162 164 210 212 234 236	205355827830
STPT(10)	2730120228273824591	0 2 6 8 18 20 30 32 36 38	426934142964