Prime p₀= 2555355146577868667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	2555352095077405493	0 24 30 48 74 84 108 188 210 290 314 324 350 368 374 398	-3051500463174
STPT(10)	2555352528711462659	0 2 48 50 90 92 132 134 180 182	-2617866406008
STPT(10)	2555352727673638559	0 2 18 20 30 32 42 44 60 62	-2418904230108
SPT(16)	2555352858759405829	0 40 78 120 144 190 208 210 232 234 252 298 322 364 402 442	-2287818462838
SPT(16)	2555353055838129329	0 24 38 44 80 102 110 170 252 312 320 342 378 384 398 422	-2090739739338
SPT(16)	2555353509532980197	0 6 42 66 72 74 114 122 174 182 222 224 230 254 290 296	-1637044888470
SPT(16)	2555355389623266127	0 16 46 52 72 94 100 112 174 186 192 214 234 240 270 286	243045397460
SPT(16)	2555355424609819649	0 48 54 158 180 188 234 264 284 314 360 368 390 494 500 548	278031950982
SPT(16)	2555357069025751967	0 30 74 92 96 104 114 146 210 242 252 260 264 282 326 356	1922447883300
SPT(16)	2555357447962543031	0 8 12 20 66 80 132 168 230 266 318 332 378 386 390 398	2301384674364
TPT(14)	2555357932075548557	0 2 24 26 102 104 114 116 180 182 222 224 234 236	2785497679890