Prime p₀= 1078105809142271909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1078104704576754973	0 28 30 40 46 70 84 88 96 100 114 138 144 154 156 184	-1104565516936
STPT(10)	1078104717510203639	0 2 12 14 90 92 168 170 180 182	-1091632068270
STPT(10)	1078104806588678129	0 2 18 20 30 32 42 44 60 62	-1002553593780
SPT(16)	1078105179028895557	0 30 42 70 72 106 130 154 222 246 270 304 306 334 346 376	-630113376352
SPT(16)	1078105240258593467	0 6 62 72 74 110 114 156 200 242 246 282 284 294 350 356	-568883678442
STPT(10)	1078105579673769539	0 2 12 14 90 92 168 170 180 182	-229468502370
STPT(10)	1078105857019026761	0 2 30 32 78 80 126 128 156 158	47876754852
STPT(10)	1078105957726717817	0 2 60 62 72 74 84 86 144 146	148584445908
SPT(16)	1078106223654934163	0 26 44 50 96 104 110 128 186 204 210 218 264 270 288 314	414512662254
TPT(14)	1078106249235111851	0 2 18 20 30 32 60 62 66 68 138 140 186 188	440092839942
SPT(16)	1078106348001367367	0 20 26 60 104 144 224 246 284 306 386 426 470 504 510 530	538859095458