Prime p₀= 1635272813149783097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: rlacr
db: batch=78, k=10, 2 40 2 88 2

SPT(16)	1635271077920734357	0 12 42 52 180 190 202 244 252 294 306 316 444 454 484 496	-1735229048740
TPT(14)	1635271747781425931	0 2 36 38 60 62 78 80 126 128 210 212 300 302	-1065368357166
SPT(16)	1635271820418915997	0 30 64 66 70 90 112 132 184 204 226 246 250 252 286 316	-992730867100
STPT(10)	1635271903014720779	0 2 48 50 90 92 132 134 180 182	-910135062318
SPT(16)	1635272068088787103	0 40 54 94 106 114 120 156 244 280 286 294 306 346 360 400	-745060995994
STPT(10)	1635272255163889997	0 2 54 56 72 74 90 92 144 146	-557985893100
TPT(14)	1635272816538316997	0 2 84 86 114 116 252 254 270 272 294 296 312 314	3388533900
SPT(16)	1635272876655296951	0 20 36 102 120 128 156 186 242 272 300 308 326 392 408 428	63505513854
SPT(16)	1635272958802953439	0 30 40 90 102 118 132 168 172 208 222 238 250 300 310 340	145653170342
SPT(20)	1635273148960904251	0 28 82 108 142 156 162 178 192 208 210 226 240 256 262 276 310 336 390 418	335811121154
STPT(10)	1635273432291775481	0 2 6 8 18 20 30 32 36 38	619141992384