Prime p₀= 1051447823931040577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1051446382465842017	0 2 30 32 72 74 114 116 144 146	-1441465198560
STPT(10)	1051446400480985147	0 2 60 62 72 74 84 86 144 146	-1423450055430
SPT(16)	1051446716934113023	0 46 60 76 90 130 174 184 186 196 240 280 294 310 324 370	-1106996927554
SPT(16)	1051447241867916317	0 30 32 42 54 72 134 140 156 162 224 242 254 264 266 296	-582063124260
SPT(16)	1051447502973435653	0 24 44 54 68 78 134 158 246 270 326 336 350 360 380 404	-320957604924
STPT(10)	1051447674053019557	0 2 30 32 72 74 114 116 144 146	-149878021020
STPT(10)	1051448218384382237	0 2 42 44 72 74 102 104 144 146	394453341660
SPT(16)	1051448370840806929	0 22 30 48 124 132 162 198 214 250 280 288 364 382 390 412	546909766352
SPT(16)	1051448556131511739	0 10 34 40 60 82 94 102 112 120 132 154 174 180 204 214	732200471162
TPT(14)	1051448628304321127	0 2 24 26 60 62 72 74 150 152 240 242 282 284	804373280550
STPT(10)	1051448742410284121	0 2 36 38 78 80 120 122 156 158	918479243544