Prime p₀= 1266439333766926799 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1266438755573640791	0 2 6 8 18 20 30 32 36 38	-578193286008
STPT(10)	1266438772270973627	0 2 30 32 42 44 54 56 84 86	-561495953172
TPT(14)	1266438798891174917	0 2 24 26 72 74 114 116 150 152 162 164 222 224	-534875751882
SPT(16)	1266438883450858427	0 56 84 182 224 242 246 254 282 290 294 312 354 452 480 536	-450316068372
SPT(16)	1266439133231931551	0 32 48 62 68 72 90 92 138 140 158 162 168 182 198 230	-200534995248
STPT(10)	1266439218957283211	0 2 36 38 78 80 120 122 156 158	-114809643588
STPT(10)	1266439464642883511	0 2 30 32 78 80 126 128 156 158	130875956712
SPT(16)	1266439532301971933	0 6 24 98 104 120 138 140 204 206 224 240 246 320 338 344	198535045134
STPT(10)	1266439595159775401	0 2 30 32 78 80 126 128 156 158	261392848602
STPT(10)	1266439632872072927	0 2 30 32 72 74 114 116 144 146	299105146128
TPT(14)	1266439720531924889	0 2 18 20 30 32 60 62 168 170 198 200 210 212	386764998090