Prime p₀= 2112967784930102039 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2112966812049525403	0 6 10 28 48 58 66 88 96 118 126 136 156 174 178 184	-972880576636
STPT(10)	2112967477963012511	0 2 36 38 78 80 120 122 156 158	-306967089528
STPT(10)	2112967552463669789	0 2 18 20 30 32 42 44 60 62	-232466432250
SPT(16)	2112967586364316933	0 6 40 70 108 238 286 300 304 318 366 496 534 564 598 604	-198565785106
STPT(10)	2112967701373919417	0 2 30 32 42 44 54 56 84 86	-83556182622
TPT(14)	2112967764518360021	0 2 30 32 96 98 108 110 126 128 180 182 186 188	-20411742018
TPT(14)	2112967855356589169	0 2 78 80 108 110 162 164 168 170 210 212 402 404	70426487130
SPT(16)	2112968098841354221	0 18 42 112 130 132 148 168 172 192 208 210 228 298 322 340	313911252182
STPT(10)	2112968342738523617	0 2 12 14 42 44 72 74 84 86	557808421578
SPT(16)	2112968608518397477	0 22 66 70 82 96 112 144 172 204 220 234 246 250 294 316	823588295438
SPT(16)	2112968928844064831	0 8 36 42 56 72 122 138 140 156 206 222 236 242 270 278	1143913962792