Prime p₀= 2306689510821027557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2306686143301387829	0 2 18 20 60 62 102 104 120 122	-3367519639728
SPT(16)	2306687691644086241	0 50 78 98 128 138 152 168 170 186 200 210 240 260 288 338	-1819176941316
SPT(16)	2306687722620623891	0 2 90 146 150 170 198 248 300 350 378 398 402 458 546 548	-1788200403666
STPT(10)	2306687745521879117	0 2 30 32 72 74 114 116 144 146	-1765299148440
TPT(16)	2306688664582424429	0 2 30 32 108 110 138 140 150 152 168 170 348 350 378 380	-846238603128
TPT(14)	2306689497119390429	0 2 12 14 48 50 72 74 102 104 132 134 168 170	-13701637128
TPT(14)	2306690003701748657	0 2 54 56 114 116 150 152 192 194 222 224 312 314	492880721100
STPT(10)	2306690244443364419	0 2 12 14 90 92 168 170 180 182	733622336862
SPT(16)	2306690322519439903	0 16 18 28 60 76 88 100 144 156 168 184 216 226 228 244	811698412346
STPT(10)	2306690773607242571	0 2 6 8 48 50 90 92 96 98	1262786215014
SPT(16)	2306690983826479331	0 30 32 60 86 90 96 110 162 176 182 186 212 240 242 272	1473005451774