Prime p₀= 4506302461593182021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Stony666
db: batch=85, k=10, 2 28 2 46 2

SPT(16)	4506301472509208873	0 48 86 114 120 168 194 218 306 330 356 404 410 438 476 524	-989083973148
STPT(10)	4506301507791578777	0 2 42 44 72 74 102 104 144 146	-953801603244
SPT(16)	4506301601351667389	0 42 84 98 114 140 182 194 228 240 282 308 324 338 380 422	-860241514632
STPT(10)	4506301632624586967	0 2 12 14 72 74 132 134 144 146	-828968595054
TPT(14)	4506301654161635957	0 2 54 56 114 116 144 146 180 182 192 194 222 224	-807431546064
SPT(16)	4506301896965046557	0 26 44 54 66 84 110 152 324 366 392 410 422 432 450 476	-564628135464
SPT(16)	4506302879742023231	0 20 32 62 68 102 126 170 198 242 266 300 306 336 348 368	418148841210
STPT(10)	4506303556783156949	0 2 72 74 120 122 168 170 240 242	1095189974928
TPT(14)	4506303578992309109	0 2 12 14 72 74 78 80 198 200 222 224 252 254	1117399127088
SPT(16)	4506303986946212951	0 8 42 48 56 62 90 128 180 218 246 252 260 266 300 308	1525353030930
SPT(16)	4506304070754486677	0 32 42 66 84 264 276 284 312 320 332 512 530 554 564 596	1609161304656