Prime p₀= 3020938261683895919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	3020935445528673821	0 18 36 56 66 68 78 80 96 98 108 110 120 140 158 176	-2816155222098
TPT(14)	3020936472620376899	0 2 138 140 162 164 180 182 198 200 240 242 288 290	-1789063519020
TPT(16)	3020936969034812921	0 2 60 62 120 122 156 158 186 188 198 200 240 242 288 290	-1292649082998
SPT(16)	3020937064181945219	0 42 48 68 120 128 134 138 164 168 174 182 234 254 260 302	-1197501950700
SPT(16)	3020937527208999829	0 48 72 100 144 148 160 162 250 252 264 268 312 340 364 412	-734474896090
STPT(10)	3020937959080738397	0 2 30 32 42 44 54 56 84 86	-302603157522
SPT(16)	3020938620563101657	0 12 34 42 46 90 124 150 196 222 256 300 304 312 334 346	358879205738
SPT(16)	3020938654472570633	0 6 68 90 98 120 140 176 180 216 236 258 266 288 350 356	392788674714
SPT(16)	3020938668182383187	0 44 50 66 92 110 116 140 306 330 336 354 380 396 402 446	406498487268
STPT(10)	3020938681145758337	0 2 30 32 42 44 54 56 84 86	419461862418
TPT(14)	3020938826575773161	0 2 36 38 48 50 120 122 156 158 186 188 246 248	564891877242