Prime p₀= 2712240909164728727 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: Dirk Broer
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2712240243304661677	0 54 72 100 112 124 142 160 174 192 210 222 234 262 280 334	-665860067050
STPT(12)	2712240316000191719	0 2 12 14 72 74 150 152 210 212 222 224	-593164537008
TPT(14)	2712240316000191719	0 2 12 14 72 74 150 152 210 212 222 224 240 242	-593164537008
STPT(10)	2712240384404198741	0 2 30 32 60 62 90 92 120 122	-524760529986
SPT(16)	2712240531652569293	0 24 36 74 84 134 150 168 176 194 210 260 270 308 320 344	-377512159434
SPT(16)	2712240830759226997	0 16 66 96 112 114 184 192 214 222 292 294 310 340 390 406	-78405501730
STPT(10)	2712241050257999171	0 2 6 8 18 20 30 32 36 38	141093270444
STPT(10)	2712241153257335639	0 2 18 20 30 32 42 44 60 62	244092606912
SPT(16)	2712241643092667171	0 2 78 80 120 122 132 188 192 248 258 260 300 302 378 380	733927938444
SPT(16)	2712241768593484313	0 8 26 36 68 114 120 140 174 194 200 246 278 288 306 314	859428755586
STPT(10)	2712242416390919717	0 2 30 32 42 44 54 56 84 86	1507226190990