Prime p₀= 2356489683177201599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2356488176761028237	0 2 42 44 72 74 102 104 144 146	-1506416173362
SPT(16)	2356488647820554033	0 26 30 44 50 66 96 114 146 164 194 210 216 230 234 260	-1035356647566
SPT(16)	2356488880859691691	0 12 42 58 60 70 78 88 120 130 138 148 150 166 196 208	-802317509908
TPT(14)	2356489271935437407	0 2 60 62 84 86 150 152 192 194 264 266 270 272	-411241764192
STPT(10)	2356489276208508767	0 2 42 44 72 74 102 104 144 146	-406968692832
SPT(16)	2356489595425459511	0 2 62 66 90 98 110 162 266 318 330 338 362 366 426 428	-87751742088
STPT(10)	2356489790729063567	0 2 30 32 42 44 54 56 84 86	107551861968
STPT(10)	2356489961733604859	0 2 42 44 120 122 198 200 240 242	278556403260
STPT(10)	2356489999997902577	0 2 54 56 72 74 90 92 144 146	316820700978
SPT(16)	2356490024875819171	0 6 22 42 48 72 76 100 138 162 166 190 196 216 232 238	341698617572
SPT(16)	2356490034487276679	0 32 38 60 80 92 98 102 158 162 168 180 200 222 228 260	351310075080