Prime p₀= 1337557406057292419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1337556923112776153	0 8 56 128 138 144 228 236 288 296 380 386 396 468 516 524	-482944516266
SPT(16)	1337556944581278143	0 20 56 74 90 98 104 156 158 210 216 224 240 258 294 314	-461476014276
SPT(16)	1337557028116547261	0 6 30 36 48 66 92 122 126 156 182 200 212 218 242 248	-377940745158
SPT(16)	1337557129166477819	0 20 48 78 92 182 188 204 248 264 270 360 374 404 432 452	-276890814600
STPT(10)	1337557180679063039	0 2 12 14 90 92 168 170 180 182	-225378229380
SPT(16)	1337557340129949383	0 14 20 30 44 54 78 90 98 110 134 144 158 168 174 188	-65927343036
STPT(10)	1337557425902384459	0 2 12 14 90 92 168 170 180 182	19845092040
SPT(16)	1337557716184661927	0 26 42 62 120 180 186 230 252 296 302 362 420 440 456 482	310127369508
SPT(16)	1337557800751238357	0 74 92 110 132 144 162 176 180 194 212 224 246 264 282 356	394693945938
SPT(18)	1337557846858208981	0 20 26 36 66 78 96 108 180 188 260 272 290 302 332 342 348 368	440800916562
STPT(10)	1337557888699440641	0 2 36 38 78 80 120 122 156 158	482642148222