Prime p₀= 2696960021256435029 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: biodoc
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2696958476988449171	0 2 36 38 78 80 120 122 156 158	-1544267985858
STPT(10)	2696958712046119151	0 2 36 38 78 80 120 122 156 158	-1309210315878
SPT(16)	2696959028472023963	0 6 96 98 120 126 134 140 264 270 278 284 306 308 398 404	-992784411066
STPT(10)	2696959297847097341	0 2 36 38 78 80 120 122 156 158	-723409337688
STPT(10)	2696959699064192477	0 2 24 26 42 44 60 62 84 86	-322192242552
SPT(16)	2696959914358888273	0 28 30 64 88 130 160 184 300 324 354 396 420 454 456 484	-106897546756
SPT(16)	2696960162661222541	0 10 42 52 58 72 90 100 108 118 136 150 156 166 198 208	141404787512
STPT(10)	2696960184368728007	0 2 30 32 72 74 114 116 144 146	163112292978
TPT(14)	2696961084672995267	0 2 24 26 54 56 72 74 84 86 210 212 240 242	1063416560238
SPT(16)	2696961207279796657	0 22 30 36 40 46 76 96 106 126 156 162 166 172 180 202	1186023361628
STPT(10)	2696961441894749039	0 2 48 50 90 92 132 134 180 182	1420638314010