Prime p₀= 1121825874576760667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1121822836158992449	0 4 28 40 54 72 94 150 172 228 250 268 282 294 318 322	-3038417768218
SPT(16)	1121823155468600671	0 16 22 42 60 100 126 130 132 136 162 202 220 240 246 262	-2719108159996
SPT(16)	1121824257837471767	0 24 56 104 120 122 194 252 284 342 414 416 432 480 512 536	-1616739288900
TPT(14)	1121824317122010287	0 2 84 86 102 104 144 146 162 164 354 356 420 422	-1557454750380
SPT(16)	1121824469936711393	0 6 20 24 86 98 110 116 138 144 156 168 230 234 248 254	-1404640049274
STPT(10)	1121825385104937167	0 2 54 56 72 74 90 92 144 146	-489471823500
STPT(10)	1121825940250290521	0 2 30 32 120 122 210 212 240 242	65673529854
SPT(16)	1121826061945238233	0 30 78 100 138 148 154 160 204 210 216 226 264 286 334 364	187368477566
SPT(13)	1121826305027572717	0 24 60 66 96 144 180 216 264 294 300 336 360	430450812050
SPT(16)	1121826365534457017	0 14 36 44 54 96 110 144 152 186 200 242 252 260 282 296	490957696350
STPT(10)	1121826640380230957	0 2 30 32 42 44 54 56 84 86	765803470290