Prime p₀= 3027613370231128727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: eclipse99
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3027611648493600313	0 36 40 70 94 96 136 150 190 204 244 246 270 300 304 340	-1721737528414
STPT(10)	3027611740880917217	0 2 30 32 42 44 54 56 84 86	-1629350211510
STPT(10)	3027612083257203677	0 2 42 44 72 74 102 104 144 146	-1286973925050
STPT(10)	3027612463795203341	0 2 36 38 78 80 120 122 156 158	-906435925386
STPT(10)	3027612610364667329	0 2 12 14 90 92 168 170 180 182	-759866461398
SPT(16)	3027612763387188217	0 24 30 72 90 126 160 184 192 216 250 286 304 346 352 376	-606843940510
SPT(16)	3027613468382450713	0 6 34 96 168 190 220 240 244 264 294 316 388 450 478 484	98151321986
STPT(10)	3027613566767079527	0 2 30 32 42 44 54 56 84 86	196535950800
TPT(14)	3027613592356015379	0 2 12 14 78 80 90 92 132 134 168 170 210 212	222124886652
SPT(16)	3027613676590267717	0 42 60 72 82 84 96 172 264 340 352 354 364 376 394 436	306359138990
SPT(16)	3027613714295314769	0 48 80 84 92 108 170 174 248 252 314 330 338 342 374 422	344064186042