Prime p₀= 2119271677878759137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Coleslaw
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2119269168458862179	0 30 44 68 84 152 198 312 320 434 480 548 564 588 602 632	-2509419896958
STPT(10)	2119269274353934511	0 2 6 8 48 50 90 92 96 98	-2403524824626
SPT(16)	2119269942704987263	0 46 60 88 100 126 136 178 246 288 298 324 336 364 378 424	-1735173771874
TPT(14)	2119270641933109541	0 2 60 62 126 128 186 188 216 218 240 242 270 272	-1035945649596
SPT(16)	2119271059536630409	0 12 40 72 78 142 144 172 180 208 210 274 280 312 340 352	-618342128728
STPT(10)	2119271504721476891	0 2 30 32 60 62 90 92 120 122	-173157282246
SPT(16)	2119271749451038577	0 6 42 54 66 84 96 110 126 140 152 170 182 194 230 236	71572279440
SPT(16)	2119272327934793777	0 14 20 104 110 116 126 162 194 230 240 246 252 336 342 356	650056034640
SPT(16)	2119272573558893113	0 30 96 126 148 154 168 174 190 196 210 216 238 268 334 364	895680133976
SPT(16)	2119272742351206433	0 28 70 96 136 144 154 186 298 330 340 348 388 414 456 484	1064472447296
STPT(10)	2119272856228321217	0 2 30 32 72 74 114 116 144 146	1178349562080