Prime p₀= 781071406095535127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG]steini
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	781070402294817317	0 2 42 44 72 74 102 104 144 146	-1003800717810
TPT(14)	781070586933253679	0 2 12 14 30 32 108 110 192 194 210 212 240 242	-819162281448
SPT(16)	781071060920128879	0 4 28 88 90 124 130 190 228 288 294 328 330 390 414 418	-345175406248
SPT(16)	781071157650228751	0 10 28 42 48 88 106 118 120 132 150 190 196 210 228 238	-248445306376
SPT(16)	781071250737489379	0 30 40 42 52 54 118 132 160 174 238 240 250 252 262 292	-155358045748
STPT(10)	781071273891882227	0 2 90 92 102 104 114 116 204 206	-132203652900
TPT(14)	781071422326305989	0 2 30 32 60 62 90 92 102 104 168 170 270 272	16230770862
SPT(16)	781071535520892899	0 20 38 90 152 164 218 252 260 294 348 360 422 474 492 512	129425357772
SPT(16)	781071630882907867	0 54 84 90 156 166 174 192 244 262 270 280 346 352 382 436	224787372740
SPT(16)	781072690267250263	0 4 10 58 114 136 154 166 168 180 198 220 276 324 330 334	1284171715136
STPT(10)	781073036299075571	0 2 6 8 18 20 30 32 36 38	1630203540444