Prime p₀= 774555050150716337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: marsinph
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	774554086574514859	0 34 40 54 84 118 144 174 208 238 264 298 328 342 348 382	-963576201478
STPT(10)	774554212479326141	0 2 36 38 78 80 120 122 156 158	-837671390196
STPT(10)	774554504334632249	0 2 42 44 90 92 138 140 180 182	-545816084088
STPT(10)	774554594158254821	0 2 6 8 18 20 30 32 36 38	-455992461516
SPT(16)	774554626945660307	0 26 96 104 110 126 152 162 164 174 200 216 222 230 300 326	-423205056030
SPT(16)	774554820356032019	0 2 14 44 80 90 120 140 162 182 212 222 258 288 300 302	-229794684318
STPT(10)	774555177982345811	0 2 6 8 18 20 30 32 36 38	127831629474
SPT(20)	774555879000087941	0 42 66 86 102 120 150 170 210 240 248 278 318 338 368 386 402 422 446 488	828849371604
SPT(16)	774556122540274681	0 12 52 88 90 126 132 148 150 166 172 208 210 246 286 298	1072389558344
STPT(10)	774556239079682999	0 2 18 20 30 32 42 44 60 62	1188928966662
STPT(10)	774556672090493387	0 2 30 32 42 44 54 56 84 86	1621939777050