Prime p₀= 1004654351363956121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: stoneageman
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1004652540440872811	0 8 20 66 98 108 122 140 168 186 200 210 242 288 300 308	-1810923083310
STPT(10)	1004652714986883227	0 2 42 44 72 74 102 104 144 146	-1636377072894
SPT(16)	1004652789278571487	0 10 22 36 42 66 94 126 190 222 250 274 280 294 306 316	-1562085384634
TPT(14)	1004653009164632981	0 2 18 20 30 32 108 110 150 152 156 158 180 182	-1342199323140
STPT(10)	1004653320948213689	0 2 18 20 30 32 42 44 60 62	-1030415742432
SPT(16)	1004654326769010289	0 54 60 72 102 108 120 124 168 172 184 190 220 232 238 292	-24594945832
STPT(10)	1004654503019100779	0 2 18 20 30 32 42 44 60 62	151655144658
STPT(10)	1004654896271415419	0 2 18 20 30 32 42 44 60 62	544907459298
STPT(10)	1004654900874655577	0 2 30 32 42 44 54 56 84 86	549510699456
STPT(10)	1004655192918593717	0 2 54 56 72 74 90 92 144 146	841554637596
SPT(16)	1004655377194054381	0 52 60 66 102 132 136 250 342 456 460 490 526 532 540 592	1025830098260