Prime p₀= 2688764680348153607 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)	2688763380418259611	0 22 42 60 78 88 112 132 166 186 210 220 238 256 276 298	-1299929893996
STPT(10)	2688763458799724429	0 2 12 14 30 32 48 50 60 62	-1221548429178
STPT(10)	2688763588396353497	0 2 12 14 42 44 72 74 84 86	-1091951800110
SPT(16)	2688764364977310647	0 14 42 80 110 132 152 164 210 222 242 264 294 332 360 374	-315370842960
STPT(10)	2688764553339552011	0 2 36 38 78 80 120 122 156 158	-127008601596
SPT(16)	2688764640333409843	0 10 34 46 60 78 84 108 196 220 226 244 258 270 294 304	-40014743764
SPT(13)	2688764756226079981	0 36 42 120 132 156 246 336 360 372 450 456 492	75877926374
STPT(10)	2688764768540652551	0 2 36 38 78 80 120 122 156 158	88192498944
TPT(14)	2688764841472460087	0 2 42 44 84 86 120 122 192 194 204 206 330 332	161124306480
SPT(16)	2688765116038703437	0 24 42 102 112 126 156 184 192 220 250 264 274 334 352 376	435690549830
STPT(10)	2688765124728892511	0 2 30 32 78 80 126 128 156 158	444380738904