Prime p₀= 2005771018001449841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: eclipse99
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2005770113908704589	0 10 42 94 102 108 124 130 132 138 154 160 168 220 252 262	-904092745252
STPT(10)	2005770277433524487	0 2 12 14 72 74 132 134 144 146	-740567925354
SPT(16)	2005770362204229659	0 12 54 68 78 80 114 152 180 218 252 254 264 278 320 332	-655797220182
STPT(10)	2005770417450796427	0 2 30 32 72 74 114 116 144 146	-600550653414
STPT(10)	2005770586959385061	0 2 6 8 48 50 90 92 96 98	-431042064780
SPT(16)	2005770703557527209	0 30 78 90 108 120 220 232 240 252 352 364 382 394 442 472	-314443922632
SPT(16)	2005771824544517219	0 60 102 128 150 158 170 180 212 222 234 242 264 290 332 392	806543067378
STPT(10)	2005771982578244057	0 2 72 74 102 104 132 134 204 206	964576794216
SPT(16)	2005772210346259567	0 36 42 46 66 94 114 172 174 232 252 280 300 304 310 346	1192344809726
TPT(14)	2005772482180871321	0 2 36 38 150 152 168 170 240 242 318 320 348 350	1464179421480
SPT(16)	2005772565244962289	0 48 70 102 112 132 150 154 198 202 220 240 250 282 304 352	1547243512448