Prime p₀= 1345588670218266107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: HenkM
db: batch=77, k=10, 2 10 2 118 2

SPT(16)	1345587587269376567	0 32 54 90 102 116 186 204 242 260 330 344 356 392 414 446	-1082948889540
SPT(16)	1345587669779909033	0 14 20 24 30 38 60 80 84 104 126 134 140 144 150 164	-1000438357074
SPT(16)	1345587889202080163	0 24 44 50 56 90 120 126 128 134 164 198 204 210 230 254	-781016185944
SPT(16)	1345587903431436421	0 16 60 70 82 96 126 130 138 142 172 186 198 208 252 268	-766786829686
STPT(10)	1345587979457077817	0 2 24 26 42 44 60 62 84 86	-690761188290
STPT(10)	1345588296083929979	0 2 12 14 90 92 168 170 180 182	-374134336128
SPT(16)	1345588792245238943	0 26 50 80 90 138 140 146 168 174 176 224 234 264 288 314	122026972836
STPT(10)	1345589170474614227	0 2 30 32 42 44 54 56 84 86	500256348120
SPT(16)	1345589456197159321	0 30 40 52 58 136 166 180 238 252 282 360 366 378 388 418	785978893214
SPT(16)	1345589646519357829	0 10 22 24 42 52 84 90 94 100 132 142 160 162 174 184	976301091722
TPT(14)	1345589955967842659	0 2 42 44 60 62 72 74 90 92 282 284 348 350	1285749576552