Prime p₀= 1123333841951154479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 46 2 10 2

SPT(16)	1123332775852072783	0 30 34 88 144 154 238 258 310 330 414 424 480 534 538 568	-1066099081696
STPT(10)	1123333083624492857	0 2 30 32 42 44 54 56 84 86	-758326661622
SPT(16)	1123333150881963299	0 24 32 68 78 80 98 120 182 204 222 224 234 270 278 302	-691069191180
STPT(12)	1123333328510936369	0 2 12 14 30 32 162 164 180 182 192 194	-513440218110
SPT(16)	1123333407601875641	0 2 8 36 62 92 96 140 168 212 216 246 272 300 306 308	-434349278838
SPT(16)	1123333742544843751	0 6 60 132 160 172 208 286 312 390 426 438 466 538 592 598	-99406310728
STPT(10)	1123334036852881727	0 2 30 32 42 44 54 56 84 86	194901727248
SPT(16)	1123334073617416123	0 24 84 106 138 144 156 166 168 178 190 196 228 250 310 334	231666261644
TPT(14)	1123334287843654877	0 2 12 14 42 44 144 146 222 224 312 314 324 326	445892500398
SPT(16)	1123334445648964313	0 8 14 24 36 48 66 78 86 98 116 128 140 150 156 164	603697809834
TPT(14)	1123334642281760057	0 2 30 32 114 116 144 146 204 206 210 212 240 242	800330605578