Prime p₀= 2777610655294620917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2777609189131303469	0 12 38 50 60 68 210 222 230 242 384 392 402 414 440 452	-1466163317448
SPT(16)	2777609249749784563	0 28 54 60 84 94 120 124 150 154 180 190 214 220 246 274	-1405544836354
STPT(10)	2777609740065425267	0 2 30 32 60 62 90 92 120 122	-915229195650
SPT(16)	2777610177476643731	0 8 18 48 102 120 126 146 162 182 188 206 260 290 300 308	-477817977186
SPT(16)	2777610387202671323	0 18 30 36 108 120 140 176 198 234 254 266 338 344 356 374	-268091949594
STPT(10)	2777610424988845811	0 2 30 32 78 80 126 128 156 158	-230305775106
STPT(10)	2777610809052188279	0 2 42 44 60 62 78 80 120 122	153757567362
STPT(10)	2777610922190845787	0 2 54 56 72 74 90 92 144 146	266896224870
SPT(16)	2777611089323041099	0 10 18 88 102 160 174 198 214 238 252 310 324 394 402 412	434028420182
STPT(10)	2777611182835365587	0 2 12 14 42 44 72 74 84 86	527540744670
STPT(10)	2777611233671241167	0 2 54 56 72 74 90 92 144 146	578376620250