Prime p₀= 1304057543746682111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: stoneageman
db: batch=77, k=10, 2 28 2 46 2

SPT(13)	1304056505179693801	0 6 12 30 42 120 126 132 210 222 240 246 252	-1038566988310
SPT(16)	1304056605539762813	0 8 14 60 90 98 104 138 386 420 426 434 464 510 516 524	-938206919298
STPT(10)	1304056670425183847	0 2 12 14 42 44 72 74 84 86	-873321498264
STPT(10)	1304056674026197769	0 2 18 20 30 32 42 44 60 62	-869720484342
SPT(16)	1304056728465236243	0 50 56 60 66 78 108 158 168 218 248 260 266 270 276 326	-815281445868
SPT(16)	1304057296162522763	0 8 14 24 38 54 144 168 176 200 290 306 320 330 336 344	-247584159348
STPT(10)	1304057596438815677	0 2 30 32 42 44 54 56 84 86	52692133566
SPT(16)	1304057651391099317	0 14 20 32 102 122 144 146 150 152 174 194 264 276 282 296	107644417206
TPT(14)	1304058054825097697	0 2 72 74 114 116 144 146 180 182 222 224 270 272	511078415586
SPT(16)	1304058104551621483	0 30 70 94 96 108 124 154 180 210 226 238 240 264 304 334	560804939372
STPT(10)	1304058140159463551	0 2 30 32 78 80 126 128 156 158	596412781440