Prime p₀= 2678516783218578719 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2678515738303726439	0 2 18 20 30 32 42 44 60 62	-1044914852280
STPT(10)	2678515773438689477	0 2 42 44 72 74 102 104 144 146	-1009779889242
SPT(16)	2678515938707451611	0 38 42 48 60 110 116 156 182 222 228 278 290 296 300 338	-844511127108
SPT(16)	2678516116761179231	0 6 36 62 66 80 102 120 122 140 162 176 180 206 236 242	-666457399488
SPT(16)	2678516338023503473	0 18 34 40 48 90 108 124 144 160 178 220 228 234 250 268	-445195075246
SPT(16)	2678516536168975273	0 18 36 70 150 156 168 238 318 388 400 406 486 520 538 556	-247049603446
STPT(10)	2678516810607502619	0 2 18 20 30 32 42 44 60 62	27388923900
STPT(10)	2678516864251963349	0 2 18 20 30 32 42 44 60 62	81033384630
SPT(16)	2678517106795725389	0 18 24 38 54 108 134 140 228 234 260 314 330 344 350 368	323577146670
TPT(14)	2678517906588262589	0 2 48 50 102 104 132 134 138 140 168 170 222 224	1123369683870
STPT(12)	2678517906588262637	0 2 54 56 84 86 90 92 120 122 174 176	1123369683918