Prime p₀= 1273772799327255209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1273771799541521531	0 6 12 20 32 56 108 116 132 140 192 216 228 236 242 248	-999785733678
SPT(16)	1273771856350021607	0 14 36 74 90 146 150 164 186 200 204 260 276 314 336 350	-942977233602
STPT(10)	1273771935433233359	0 2 12 14 30 32 48 50 60 62	-863894021850
SPT(16)	1273772014261880333	0 26 104 156 186 194 198 224 270 296 300 308 338 390 468 494	-785065374876
SPT(16)	1273772062193950873	0 16 30 64 66 126 144 156 184 196 214 274 276 310 324 340	-737133304336
STPT(10)	1273772722968533699	0 2 18 20 30 32 42 44 60 62	-76358721510
SPT(16)	1273772897094748861	0 40 76 100 118 142 180 208 270 298 336 360 378 402 438 478	97767493652
SPT(16)	1273772930221496533	0 6 54 64 66 108 114 118 156 160 166 208 210 220 268 274	130894241324
STPT(10)	1273773095444895971	0 2 30 32 78 80 126 128 156 158	296117640762
SPT(16)	1273773393565204739	0 48 60 74 78 98 110 120 152 162 174 194 198 212 224 272	594237949530
TPT(14)	1273773662892398177	0 2 24 26 72 74 180 182 222 224 264 266 312 314	863565142968