Prime p₀= 4327846234423690007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: gemini8
db: batch=85, k=10, 2 10 2 28 2

SPT(16)	4327844246997847661	0 2 26 38 42 56 78 96 152 170 192 206 210 222 246 248	-1987425842346
STPT(10)	4327844607256928831	0 2 78 80 108 110 138 140 216 218	-1627166761176
STPT(10)	4327844932370627909	0 2 42 44 90 92 138 140 180 182	-1302053062098
SPT(16)	4327845219122894519	0 18 44 78 98 110 114 138 140 164 168 180 200 234 260 278	-1015300795488
SPT(16)	4327846007677155449	0 24 54 72 80 132 140 168 194 222 230 282 290 308 338 362	-226746534558
TPT(14)	4327846143263486339	0 2 18 20 42 44 60 62 198 200 240 242 420 422	-91160203668
TPT(14)	4327846314588821417	0 2 30 32 162 164 180 182 222 224 240 242 282 284	80165131410
STPT(10)	4327846676782104569	0 2 30 32 60 62 90 92 120 122	442358414562
STPT(10)	4327847058270727307	0 2 30 32 42 44 54 56 84 86	823847037300
TPT(14)	4327847799578124359	0 2 102 104 108 110 150 152 198 200 222 224 228 230	1565154434352
SPT(16)	4327848198049801697	0 26 30 96 152 164 180 194 252 266 282 294 350 416 420 446	1963626111690