Prime p₀= 1051477124116123457 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)	1051475445065037191	0 2 78 80 108 110 138 140 216 218	-1679051086266
STPT(10)	1051475705850248891	0 2 36 38 78 80 120 122 156 158	-1418265874566
TPT(14)	1051475722515137501	0 2 138 140 150 152 156 158 420 422 486 488 528 530	-1401600985956
STPT(10)	1051476250749564317	0 2 30 32 42 44 54 56 84 86	-873366559140
SPT(16)	1051476403915149293	0 50 56 120 126 156 170 176 180 186 200 230 236 300 306 356	-720200974164
TPT(14)	1051477095915154541	0 2 6 8 48 50 78 80 96 98 150 152 216 218	-28200968916
SPT(16)	1051477911081047909	0 18 32 50 98 120 132 158 162 188 200 222 270 288 302 320	786964924452
STPT(10)	1051478218622853347	0 2 42 44 72 74 102 104 144 146	1094506729890
SPT(16)	1051478261552879609	0 72 80 108 114 144 170 180 182 192 218 248 254 282 290 362	1137436756152
STPT(10)	1051478948387059859	0 2 18 20 60 62 102 104 120 122	1824270936402
SPT(16)	1051479394307718671	0 26 66 78 86 96 120 176 240 296 320 330 338 350 390 416	2270191595214