Prime p₀= 1069374495692470967 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

STPT(12)	1069373554928655617	0 2 12 14 54 56 60 62 102 104 114 116	-940763815350
SPT(16)	1069373638222379401	0 10 18 30 46 52 66 88 90 112 126 132 148 160 168 178	-857470091566
SPT(16)	1069373713215024379	0 18 30 70 82 112 222 268 294 340 450 480 492 532 544 562	-782477446588
SPT(16)	1069374159059866249	0 22 28 52 84 142 148 178 204 234 240 298 330 354 360 382	-336632604718
SPT(16)	1069374236469617321	0 18 26 42 48 66 68 78 80 90 92 110 116 132 140 158	-259222853646
SPT(16)	1069374352463194483	0 28 46 60 76 118 160 166 180 186 228 270 286 300 318 346	-143229276484
TPT(14)	1069374499668987761	0 2 30 32 96 98 138 140 168 170 198 200 240 242	3976516794
STPT(10)	1069374499668987857	0 2 42 44 72 74 102 104 144 146	3976516890
SPT(16)	1069374639874216567	0 12 24 100 112 126 166 250 306 390 430 444 456 532 544 556	144181745600
SPT(16)	1069374861660314147	0 2 12 14 32 50 74 102 134 162 186 204 222 224 234 236	365967843180
STPT(10)	1069374985801798691	0 2 36 38 78 80 120 122 156 158	490109327724