Prime p₀= 1004987267281443569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=76, k=10, 2 46 2 40 2

SPT(16)	1004986743781677457	0 30 54 84 100 106 132 136 180 184 210 216 232 262 286 316	-523499766112
SPT(16)	1004986778382079039	0 4 52 70 78 82 94 112 120 138 150 154 162 180 228 232	-488899364530
STPT(10)	1004986783802464361	0 2 96 98 108 110 120 122 216 218	-483478979208
TPT(14)	1004986793616169781	0 2 6 8 18 20 180 182 198 200 240 242 258 260	-473665273788
STPT(10)	1004986969419923417	0 2 42 44 72 74 102 104 144 146	-297861520152
STPT(10)	1004987221604850257	0 2 12 14 72 74 132 134 144 146	-45676593312
STPT(10)	1004987389864654289	0 2 42 44 60 62 78 80 120 122	122583210720
SPT(16)	1004987582556700261	0 22 28 36 52 58 82 96 112 126 150 156 172 180 186 208	315275256692
SPT(16)	1004987839463663327	0 2 20 24 44 90 96 104 192 200 206 252 272 276 294 296	572182219758
SPT(16)	1004988063333505081	0 28 78 136 138 178 250 252 286 288 360 400 402 460 510 538	796052061512
SPT(16)	1004988230225404543	0 6 30 34 54 60 96 100 114 118 154 160 180 184 208 214	962943960974