Prime p₀= 2313034903601308091 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: Drago75
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2313033887019726067	0 22 36 46 52 64 70 120 196 246 252 264 270 280 294 316	-1016581582024
SPT(16)	2313034098048362411	0 2 8 56 60 90 92 98 150 156 158 188 192 240 246 248	-805552945680
STPT(10)	2313034273635312551	0 2 36 38 78 80 120 122 156 158	-629965995540
STPT(10)	2313034436148131807	0 2 42 44 72 74 102 104 144 146	-467453176284
TPT(14)	2313034561970491649	0 2 42 44 78 80 90 92 108 110 168 170 180 182	-341630816442
SPT(16)	2313034690148324027	0 2 14 42 62 84 86 96 260 270 272 294 314 342 354 356	-213452984064
STPT(10)	2313034995731580047	0 2 42 44 72 74 102 104 144 146	92130271956
SPT(16)	2313035116532703203	0 18 54 116 120 138 144 156 158 170 176 194 198 260 296 314	212931395112
STPT(10)	2313035976525582401	0 2 30 32 60 62 90 92 120 122	1072924274310
STPT(10)	2313036140449754021	0 2 30 32 78 80 126 128 156 158	1236848445930
STPT(10)	2313036298532357309	0 2 18 20 30 32 42 44 60 62	1394931049218