Prime p₀= 1121825385104937167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: crashtech
db: batch=76, k=10, 2 52 2 16 2

STPT(10)	1121822635301361269	0 2 12 14 90 92 168 170 180 182	-2749803575898
SPT(16)	1121822836158992449	0 4 28 40 54 72 94 150 172 228 250 268 282 294 318 322	-2548945944718
SPT(16)	1121823155468600671	0 16 22 42 60 100 126 130 132 136 162 202 220 240 246 262	-2229636336496
SPT(16)	1121824257837471767	0 24 56 104 120 122 194 252 284 342 414 416 432 480 512 536	-1127267465400
TPT(14)	1121824317122010287	0 2 84 86 102 104 144 146 162 164 354 356 420 422	-1067982926880
SPT(16)	1121824469936711393	0 6 20 24 86 98 110 116 138 144 156 168 230 234 248 254	-915168225774
STPT(10)	1121825874576760667	0 2 12 14 42 44 72 74 84 86	489471823500
STPT(10)	1121825940250290521	0 2 30 32 120 122 210 212 240 242	555145353354
SPT(16)	1121826061945238233	0 30 78 100 138 148 154 160 204 210 216 226 264 286 334 364	676840301066
SPT(13)	1121826305027572717	0 24 60 66 96 144 180 216 264 294 300 336 360	919922635550
SPT(16)	1121826365534457017	0 14 36 44 54 96 110 144 152 186 200 242 252 260 282 296	980429519850