Prime p₀= 1949368041140827631 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: Landjunge
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	1949366360500790321	0 2 18 30 48 72 138 156 182 200 266 290 308 320 336 338	-1680640037310
SPT(16)	1949366585388936479	0 38 42 62 98 110 128 150 152 174 192 204 240 260 264 302	-1455751891152
SPT(16)	1949366988846837473	0 6 8 20 30 50 78 96 170 188 216 236 246 258 260 266	-1052293990158
SPT(16)	1949367055496426641	0 10 18 60 66 96 118 126 130 138 160 190 196 238 246 256	-985644400990
SPT(16)	1949367151693388519	0 14 32 50 60 72 78 102 140 164 170 182 192 210 228 242	-889447439112
STPT(10)	1949367957870931859	0 2 18 20 30 32 42 44 60 62	-83269895772
SPT(16)	1949368109582696123	0 6 18 38 44 98 110 114 140 144 156 210 216 236 248 254	68441868492
SPT(16)	1949368202546094353	0 14 18 36 38 74 108 134 150 176 210 246 248 266 270 284	161405266722
STPT(10)	1949368258013502551	0 2 36 38 78 80 120 122 156 158	216872674920
STPT(10)	1949368545672491129	0 2 18 20 30 32 42 44 60 62	504531663498
TPT(14)	1949368615377138269	0 2 42 44 72 74 108 110 210 212 240 242 270 272	574236310638