Prime p₀= 2678387206999133681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2678386181226629711	0 6 12 26 32 62 96 116 126 146 180 210 216 230 236 242	-1025772503970
TPT(14)	2678386250735473631	0 2 78 80 90 92 108 110 168 170 216 218 288 290	-956263660050
SPT(16)	2678386412637960581	0 12 50 78 120 182 188 222 296 330 336 398 440 468 506 518	-794361173100
SPT(16)	2678386418272659119	0 2 12 18 78 84 98 102 110 114 128 134 194 200 210 212	-788726474562
SPT(16)	2678387058889771469	0 8 32 38 50 74 114 120 122 128 168 192 204 210 234 242	-148109362212
SPT(16)	2678387109877762519	0 10 22 48 84 120 130 132 190 192 202 238 274 300 312 322	-97121371162
SPT(16)	2678387403254527369	0 4 18 34 42 48 60 70 72 82 94 100 108 124 138 142	196255393688
STPT(10)	2678387575322902769	0 2 18 20 30 32 42 44 60 62	368323769088
SPT(16)	2678387920272104489	0 14 30 44 50 54 80 98 150 168 194 198 204 218 234 248	713272970808
STPT(10)	2678387949811679387	0 2 42 44 72 74 102 104 144 146	742812545706
STPT(10)	2678387991782845229	0 2 18 20 30 32 42 44 60 62	784783711548