Prime p₀= 3003210697748481131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: KAMCOBILL
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	3003208523124006887	0 2 30 32 60 62 72 74 240 242 264 266 282 284	-2174624474244
STPT(10)	3003209297787794111	0 2 30 32 78 80 126 128 156 158	-1399960687020
STPT(10)	3003209870756779499	0 2 12 14 30 32 48 50 60 62	-826991701632
SPT(16)	3003210266640190603	0 54 76 78 96 100 106 124 150 168 174 178 196 198 220 274	-431108290528
STPT(10)	3003210476292304319	0 2 18 20 30 32 42 44 60 62	-221456176812
STPT(10)	3003210497022014969	0 2 18 20 30 32 42 44 60 62	-200726466162
SPT(16)	3003210739872071423	0 8 78 104 120 126 140 170 294 324 338 344 360 386 456 464	42123590292
TPT(14)	3003210796405856087	0 2 30 32 72 74 174 176 204 206 210 212 252 254	98657374956
STPT(10)	3003211085978616179	0 2 18 20 30 32 42 44 60 62	388230135048
SPT(16)	3003211132120421623	0 46 60 70 90 108 118 148 156 186 196 214 234 244 258 304	434371940492
SPT(16)	3003211178062913599	0 18 40 88 132 150 168 192 238 262 280 298 342 390 412 430	480314432468