Prime p₀= 2068581660865376099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Cruncher Pete
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2068579100965644119	0 12 20 24 84 90 102 138 194 230 242 248 308 312 320 332	-2559899731980
SPT(13)	2068579308735507427	0 6 30 90 156 210 216 222 276 342 402 426 432	-2352129868672
STPT(10)	2068579527952485797	0 2 12 14 42 44 72 74 84 86	-2132912890302
SPT(16)	2068580256007252369	0 12 28 42 48 70 78 88 162 172 180 202 208 222 238 250	-1404858123730
TPT(14)	2068580455024210991	0 2 78 80 108 110 120 122 138 140 180 182 210 212	-1205841165108
STPT(10)	2068580457557126267	0 2 42 44 72 74 102 104 144 146	-1203308249832
STPT(10)	2068581780962365307	0 2 60 62 72 74 84 86 144 146	120096989208
SPT(16)	2068581959324379953	0 18 20 48 104 110 116 128 156 168 174 180 236 264 266 284	298459003854
STPT(10)	2068582420664676611	0 2 30 32 78 80 126 128 156 158	759799300512
STPT(12)	2068583053800463259	0 2 12 14 42 44 48 50 78 80 90 92	1392935087160
STPT(10)	2068583075573268251	0 2 6 8 48 50 90 92 96 98	1414707892152