Prime p₀= 780827915181837659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG]steini
db: batch=73, k=10, 2 40 2 46 2

TPT(14)	780826310126111057	0 2 30 32 42 44 54 56 72 74 132 134 210 212	-1605055726602
STPT(12)	780826351878302867	0 2 42 44 54 56 90 92 102 104 144 146	-1563303534792
SPT(16)	780826361091825341	0 38 102 122 128 138 140 152 186 198 200 210 216 236 300 338	-1554090012318
STPT(10)	780827023576293611	0 2 30 32 78 80 126 128 156 158	-891605544048
STPT(10)	780827723955877361	0 2 30 32 78 80 126 128 156 158	-191225960298
STPT(10)	780827905498146629	0 2 12 14 90 92 168 170 180 182	-9683691030
SPT(16)	780828266929284559	0 30 34 52 58 94 108 160 192 244 258 294 300 318 322 352	351747446900
TPT(14)	780828848525791277	0 2 42 44 114 116 144 146 174 176 300 302 342 344	933343953618
SPT(16)	780829266367177847	0 14 56 66 110 134 140 156 164 180 186 210 254 264 306 320	1351185340188
SPT(16)	780830031573440869	0 12 18 48 52 102 132 168 184 220 250 300 304 334 340 352	2116391603210
STPT(10)	780830221084694477	0 2 12 14 72 74 132 134 144 146	2305902856818