Prime p₀= 2112286474180681217 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: gemini8
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2112284922836448931	0 6 36 48 60 82 88 160 168 240 246 268 280 292 322 328	-1551344232286
SPT(16)	2112284979172951489	0 18 30 40 112 114 142 162 190 210 238 240 312 322 334 352	-1495007729728
SPT(16)	2112285501342877709	0 24 30 60 90 104 114 128 144 158 168 182 212 242 248 272	-972837803508
TPT(14)	2112285568748402741	0 2 36 38 66 68 198 200 210 212 246 248 288 290	-905432278476
STPT(10)	2112286038848115677	0 2 30 32 42 44 54 56 84 86	-435332565540
STPT(10)	2112286329646243349	0 2 18 20 30 32 42 44 60 62	-144534437868
SPT(16)	2112287310313203409	0 12 52 100 112 124 130 154 168 192 198 210 222 270 310 322	836132522192
SPT(16)	2112287859997363799	0 14 18 24 48 50 78 90 92 104 132 134 158 164 168 182	1385816682582
SPT(16)	2112288133566017597	0 2 26 116 120 134 222 240 266 284 372 386 390 480 504 506	1659385336380
STPT(10)	2112288144972739157	0 2 54 56 132 134 210 212 264 266	1670792057940
TPT(16)	2112288203465347487	0 2 54 56 60 62 222 224 264 266 282 284 294 296 312 314	1729284666270