Prime p₀= 4044843027400753577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Alnitak2019
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	4044842510722572947	0 36 42 44 134 146 152 164 222 234 240 252 342 344 350 386	-516678180630
STPT(10)	4044842608982174141	0 2 6 8 18 20 30 32 36 38	-418418579436
STPT(10)	4044842745672024389	0 2 42 44 60 62 78 80 120 122	-281728729188
SPT(16)	4044842764879194547	0 24 52 64 112 154 166 250 276 360 372 414 462 474 502 526	-262521559030
SPT(16)	4044842934622614953	0 6 8 14 30 96 108 110 234 236 248 314 330 336 338 344	-92778138624
TPT(14)	4044843007505160401	0 2 30 32 78 80 90 92 168 170 210 212 246 248	-19895593176
SPT(16)	4044843408970503257	0 44 56 74 110 114 122 132 164 174 182 186 222 240 252 296	381569749680
STPT(10)	4044843695335635287	0 2 30 32 42 44 54 56 84 86	667934881710
SPT(16)	4044843889879162717	0 84 90 130 142 172 174 180 244 250 252 282 294 334 340 424	862478409140
SPT(16)	4044844220052822181	0 100 102 106 112 118 168 172 216 220 270 276 282 286 288 388	1192652068604
SPT(16)	4044844849485478319	0 54 102 110 120 134 222 240 332 350 438 452 462 470 518 572	1822084724742