Prime p₀= 2531031806377210229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2531029101594132749	0 2 12 98 110 168 198 210 212 224 254 312 324 410 420 422	-2704783077480
SPT(16)	2531029163080180409	0 14 38 48 50 54 78 80 138 140 164 168 170 180 204 218	-2643297029820
SPT(16)	2531029863952518977	0 12 20 26 72 74 114 122 174 182 222 224 270 276 284 296	-1942424691252
STPT(10)	2531030921621865329	0 2 18 20 60 62 102 104 120 122	-884755344900
SPT(16)	2531030932661794141	0 36 46 60 126 130 138 148 150 160 168 172 238 252 262 298	-873715416088
SPT(16)	2531030953148196833	0 6 26 38 66 74 104 138 146 180 210 218 246 258 278 284	-853229013396
STPT(10)	2531031921563043929	0 2 30 32 60 62 90 92 120 122	115185833700
SPT(16)	2531032101586062037	0 10 120 124 186 204 244 250 300 306 346 364 426 430 540 550	295208851808
STPT(10)	2531032181065845167	0 2 12 14 42 44 72 74 84 86	374688634938
STPT(10)	2531032227897271079	0 2 18 20 60 62 102 104 120 122	421520060850
SPT(16)	2531032283944633919	0 30 32 42 98 102 114 164 168 218 230 234 290 300 302 332	477567423690