Prime p₀= 2044080763455638597 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2044079155298718821	0 2 6 8 48 50 90 92 96 98	-1608156919776
SPT(16)	2044079503033401193	0 24 28 34 64 66 76 120 154 198 208 210 240 246 250 274	-1260422237404
SPT(16)	2044079560617784381	0 18 40 96 108 180 186 198 238 250 256 328 340 396 418 436	-1202837854216
STPT(10)	2044079678253747647	0 2 60 62 102 104 144 146 204 206	-1085201890950
TPT(14)	2044080245628013919	0 2 18 20 42 44 138 140 198 200 228 230 282 284	-517827624678
SPT(16)	2044080653204311399	0 28 42 72 88 108 112 142 270 300 304 324 340 370 384 412	-110251327198
SPT(16)	2044080998194158047	0 14 24 50 66 104 146 152 174 180 222 260 276 302 312 326	234738519450
STPT(10)	2044081177651240709	0 2 42 44 60 62 78 80 120 122	414195602112
SPT(16)	2044081424521038967	0 16 30 154 262 294 304 312 364 372 382 414 522 646 660 676	661065400370
STPT(10)	2044081749914490827	0 2 90 92 102 104 114 116 204 206	986458852230
SPT(16)	2044082581301889581	0 12 48 62 92 102 116 138 140 162 176 186 216 230 266 278	1817846250984