Prime p₀= 1585914327843437027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: emoga
db: batch=78, k=10, 2 40 2 28 2

STPT(10)	1585912825113563291	0 2 36 38 78 80 120 122 156 158	-1502729873736
SPT(16)	1585913137624045039	0 10 18 40 78 82 88 148 192 252 258 262 300 322 330 340	-1190219391988
SPT(16)	1585913760390542521	0 22 42 46 70 82 126 130 138 142 186 198 222 226 246 268	-567452894506
TPT(14)	1585913993254571777	0 2 42 44 84 86 102 104 192 194 222 224 234 236	-334588865250
STPT(10)	1585914182402317457	0 2 30 32 42 44 54 56 84 86	-145441119570
SPT(16)	1585914280672782637	0 36 52 64 70 76 96 150 166 220 240 246 252 264 280 316	-47170654390
SPT(13)	1585914805028458397	0 30 42 72 114 132 162 192 210 252 282 294 324	477185021370
SPT(16)	1585915125603409793	0 30 44 80 86 114 150 176 324 350 386 414 420 456 470 500	797759972766
STPT(10)	1585915199738821337	0 2 12 14 42 44 72 74 84 86	871895384310
SPT(16)	1585915571193147319	0 30 52 54 112 124 130 154 198 222 228 240 298 300 322 352	1243349710292
STPT(10)	1585915593531328217	0 2 30 32 72 74 114 116 144 146	1265687891190