Prime p₀= 780951867920687789 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: [SG]steini
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	780950703521422757	0 26 32 42 50 56 60 66 86 92 96 102 110 120 126 152	-1164399265032
SPT(16)	780950854263655709	0 12 30 54 144 168 182 204 278 300 314 338 428 452 470 482	-1013657032080
SPT(16)	780950893125872159	0 38 48 60 80 84 98 110 132 144 158 162 182 194 204 242	-974794815630
STPT(10)	780950947118802149	0 2 18 20 30 32 42 44 60 62	-920801885640
STPT(10)	780951267635677709	0 2 18 20 30 32 42 44 60 62	-600285010080
STPT(10)	780951814839525359	0 2 18 20 30 32 42 44 60 62	-53081162430
SPT(16)	780951946973419967	0 30 32 62 140 152 230 252 314 336 414 426 504 534 536 566	79052732178
SPT(16)	780952715538795589	0 28 54 58 138 154 168 210 292 334 348 364 444 448 474 502	847618107800
TPT(14)	780952716228807371	0 2 18 20 30 32 198 200 300 302 366 368 426 428	848308119582
SPT(16)	780952951389154391	0 2 50 78 80 116 126 128 150 152 162 198 200 228 276 278	1083468466602
STPT(10)	780953072497157627	0 2 60 62 72 74 84 86 144 146	1204576469838