Prime p₀= 1956875663574535997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Orange Kid
db: batch=80, k=10, 2 40 2 28 2

STPT(10)	1956874814829647861	0 2 36 38 78 80 120 122 156 158	-848744888136
STPT(10)	1956874872911870279	0 2 18 20 30 32 42 44 60 62	-790662665718
STPT(10)	1956874910860690697	0 2 30 32 60 62 90 92 120 122	-752713845300
SPT(16)	1956874987592937701	0 48 108 116 128 168 198 210 248 260 290 330 342 350 410 458	-675981598296
STPT(10)	1956875278443843617	0 2 30 32 72 74 114 116 144 146	-385130692380
STPT(10)	1956875447044925159	0 2 18 20 30 32 42 44 60 62	-216529610838
STPT(10)	1956875895913185617	0 2 30 32 42 44 54 56 84 86	232338649620
SPT(16)	1956876612861024707	0 32 56 90 102 114 116 132 164 180 182 194 206 240 264 296	949286488710
TPT(14)	1956876757963282121	0 2 36 38 66 68 96 98 150 152 180 182 246 248	1094388746124
SPT(16)	1956876839569277443	0 10 24 28 54 58 100 108 160 168 210 214 240 244 258 268	1175994741446
SPT(16)	1956876935076018497	0 24 62 86 164 176 182 192 194 204 210 222 300 324 362 386	1271501482500