Prime p₀= 1949368258013502551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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 34 2 40 2

SPT(16)	1949367055496426641	0 10 18 60 66 96 118 126 130 138 160 190 196 238 246 256	-1202517075910
SPT(16)	1949367151693388519	0 14 32 50 60 72 78 102 140 164 170 182 192 210 228 242	-1106320114032
STPT(10)	1949367957870931859	0 2 18 20 30 32 42 44 60 62	-300142570692
STPT(10)	1949368041140827631	0 2 30 32 78 80 126 128 156 158	-216872674920
SPT(16)	1949368109582696123	0 6 18 38 44 98 110 114 140 144 156 210 216 236 248 254	-148430806428
SPT(16)	1949368202546094353	0 14 18 36 38 74 108 134 150 176 210 246 248 266 270 284	-55467408198
STPT(10)	1949368545672491129	0 2 18 20 30 32 42 44 60 62	287658988578
TPT(14)	1949368615377138269	0 2 42 44 72 74 108 110 210 212 240 242 270 272	357363635718
SPT(16)	1949368818102715951	0 28 42 76 126 130 138 142 156 160 168 172 222 256 270 298	560089213400
STPT(10)	1949368867613765627	0 2 12 14 42 44 72 74 84 86	609600263076
STPT(10)	1949368901579431349	0 2 42 44 90 92 138 140 180 182	643565928798