Prime p₀= 2538221195680435589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: arkiss
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2538219922165183547	0 26 96 102 114 126 146 152 174 180 200 212 224 230 300 326	-1273515252042
SPT(16)	2538219986270154337	0 6 12 42 72 90 144 162 264 282 336 354 384 414 420 426	-1209410281252
STPT(10)	2538219996648595937	0 2 60 62 72 74 84 86 144 146	-1199031839652
SPT(16)	2538220077780784037	0 56 60 72 86 102 110 116 180 186 194 210 224 236 240 296	-1117899651552
SPT(16)	2538220934336753987	0 2 12 54 102 104 126 156 170 200 222 224 272 314 324 326	-261343681602
TPT(14)	2538221117379107117	0 2 42 44 84 86 150 152 192 194 222 224 270 272	-78301328472
STPT(10)	2538221344788504647	0 2 30 32 42 44 54 56 84 86	149108069058
STPT(10)	2538221596826371031	0 2 36 38 78 80 120 122 156 158	401145935442
SPT(16)	2538222072876697517	0 6 24 62 84 90 104 122 144 162 176 182 204 242 260 266	877196261928
TPT(14)	2538222224134775831	0 2 48 50 120 122 156 158 198 200 210 212 240 242	1028454340242
STPT(10)	2538222330032720717	0 2 12 14 42 44 72 74 84 86	1134352285128