Prime p₀= 781087679883579137 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

SPT(16)	781087104984705011	0 30 36 38 42 50 72 108 110 146 168 176 180 182 188 218	-574898874126
SPT(16)	781087203211471021	0 10 46 66 78 108 126 130 228 232 250 280 292 312 348 358	-476672108116
SPT(16)	781087222209420989	0 42 62 78 102 108 234 254 288 308 434 440 464 480 500 542	-457674158148
STPT(10)	781087231419399209	0 2 42 44 90 92 138 140 180 182	-448464179928
SPT(16)	781087318401863821	0 18 28 40 60 82 102 106 192 196 216 238 258 270 280 298	-361481715316
STPT(10)	781087349108506619	0 2 12 14 90 92 168 170 180 182	-330775072518
SPT(16)	781087826343778067	0 20 32 36 50 66 72 74 132 134 140 156 170 174 186 206	146460198930
STPT(10)	781088288496159701	0 2 30 32 78 80 126 128 156 158	608612580564
STPT(10)	781088711003346269	0 2 18 20 30 32 42 44 60 62	1031119767132
STPT(10)	781088859075406709	0 2 18 20 60 62 102 104 120 122	1179191827572
TPT(14)	781089003595480157	0 2 42 44 54 56 84 86 114 116 144 146 180 182	1323711901020