Prime p₀= 1001338389502449137 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1001336924545917899	0 2 78 80 120 122 162 164 240 242	-1464956531238
STPT(10)	1001337083457531827	0 2 30 32 42 44 54 56 84 86	-1306044917310
SPT(16)	1001337861677991883	0 28 48 160 166 180 226 238 288 300 346 360 366 478 498 526	-527824457254
SPT(16)	1001337893543962327	0 6 30 64 72 82 90 96 100 106 114 124 132 166 190 196	-495958486810
STPT(10)	1001338128802267337	0 2 42 44 72 74 102 104 144 146	-260700181800
SPT(16)	1001338294075303091	0 18 26 48 62 68 96 108 140 152 180 186 200 222 230 248	-95427146046
SPT(16)	1001338466882478917	0 24 80 92 150 152 180 192 194 206 234 236 294 306 362 386	77380029780
STPT(10)	1001338670818350461	0 2 36 38 78 80 120 122 156 158	281315901324
SPT(16)	1001338888739519713	0 18 28 60 66 70 78 88 186 196 204 208 214 246 256 274	499237070576
STPT(10)	1001338984353964601	0 2 36 38 78 80 120 122 156 158	594851515464
SPT(16)	1001339234951081387	0 26 72 102 104 110 140 162 194 216 246 252 254 284 330 356	845448632250