Prime p₀= 3030396226329595559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Conan
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	3030394157520370409	0 18 38 140 192 230 234 270 272 308 312 350 402 504 524 542	-2068809225150
SPT(16)	3030394370316082151	0 30 42 50 68 120 140 170 210 240 260 312 330 338 350 380	-1856013513408
TPT(14)	3030394902476887949	0 2 42 44 48 50 78 80 90 92 132 134 210 212	-1323852707610
STPT(10)	3030395015218580921	0 2 6 8 18 20 30 32 36 38	-1211111014638
SPT(16)	3030395032950897461	0 12 26 72 108 150 168 180 278 290 308 350 386 432 446 458	-1193378698098
SPT(16)	3030395766319648127	0 20 24 36 66 90 104 120 146 162 176 200 230 242 246 266	-460009947432
SPT(16)	3030396226462794529	0 22 58 82 112 142 174 190 222 238 270 300 330 354 390 412	133198970
SPT(16)	3030396664479309877	0 10 30 42 64 72 114 190 204 280 322 330 352 364 384 394	438149714318
STPT(10)	3030397365781497557	0 2 24 26 42 44 60 62 84 86	1139451901998
STPT(10)	3030397673035112057	0 2 30 32 42 44 54 56 84 86	1446705516498
SPT(16)	3030398574024024881	0 30 42 72 98 116 146 152 186 192 222 240 266 296 308 338	2347694429322