Prime p₀= 2296544900127678659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2296543192861947349	0 22 28 34 42 48 60 84 88 112 124 130 138 144 150 172	-1707265731310
STPT(10)	2296544142972703451	0 2 36 38 78 80 120 122 156 158	-757154975208
SPT(16)	2296544301906017593	0 24 30 40 84 94 96 136 198 238 240 250 294 304 310 334	-598221661066
STPT(10)	2296544335051935077	0 2 42 44 132 134 222 224 264 266	-565075743582
STPT(10)	2296544529681560339	0 2 18 20 30 32 42 44 60 62	-370446118320
SPT(16)	2296544655585661423	0 34 78 88 126 174 196 204 220 228 250 298 336 346 390 424	-244542017236
STPT(12)	2296545061914042347	0 2 42 44 72 74 102 104 132 134 174 176	161786363688
SPT(16)	2296545411976685659	0 4 10 18 40 54 58 70 72 84 88 102 124 132 138 142	511849007000
TPT(14)	2296545827761614389	0 2 102 104 132 134 228 230 240 242 270 272 312 314	927633935730
STPT(10)	2296545934496792777	0 2 30 32 42 44 54 56 84 86	1034369114118
SPT(16)	2296546037543274901	0 40 60 70 82 90 96 222 376 502 508 516 528 538 558 598	1137415596242