Prime p₀= 1320290976978748001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: emoga
db: batch=77, k=10, 2 76 2 28 2

SPT(16)	1320289689920365193	0 8 44 56 78 110 134 144 320 330 354 386 408 420 456 464	-1287058382808
STPT(10)	1320289770480723851	0 2 6 8 48 50 90 92 96 98	-1206498024150
STPT(10)	1320290040444781949	0 2 12 14 90 92 168 170 180 182	-936533966052
SPT(16)	1320290424308813927	0 12 32 56 72 102 110 146 180 216 224 254 270 294 314 326	-552669934074
SPT(16)	1320290575620877519	0 10 52 64 72 84 120 130 162 172 208 220 228 240 282 292	-401357870482
SPT(16)	1320290883224775551	0 18 36 66 122 192 206 228 290 312 326 396 452 482 500 518	-93753972450
STPT(10)	1320291440251845179	0 2 18 20 30 32 42 44 60 62	463273097178
STPT(10)	1320291870069874697	0 2 30 32 72 74 114 116 144 146	893091126696
SPT(16)	1320292040704540837	0 24 30 40 64 66 124 156 190 222 280 282 306 316 322 346	1063725792836
TPT(14)	1320292093021736171	0 2 30 32 78 80 96 98 150 152 330 332 336 338	1116042988170
STPT(10)	1320292598747765969	0 2 18 20 30 32 42 44 60 62	1621769017968